# doc-cache created by Octave 5.1.0
# name: cache
# type: cell
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# name: <cell-element>
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betacdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 160
 -- betacdf (X, A, B)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the Beta distribution with parameters A and B.


# name: <cell-element>
# type: sq_string
# elements: 1
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For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
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betainv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 155
 -- betainv (X, A, B)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the Beta distribution with parameters A and B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
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betapdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 156
 -- betapdf (X, A, B)
     For each element of X, compute the probability density function
     (PDF) at X of the Beta distribution with parameters A and B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
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betarnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 656
 -- betarnd (A, B)
 -- betarnd (A, B, R)
 -- betarnd (A, B, R, C, ...)
 -- betarnd (A, B, [SZ])
     Return a matrix of random samples from the Beta distribution with
     parameters A and B.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of A and B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the Beta distribution with
parameters ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
binocdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 243
 -- binocdf (X, N, P)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the binomial distribution with parameters N and P,
     where N is the number of trials and P is the probability of
     success.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
binoinv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 238
 -- binoinv (X, N, P)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the binomial distribution with parameters N and P,
     where N is the number of trials and P is the probability of
     success.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
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binopdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 239
 -- binopdf (X, N, P)
     For each element of X, compute the probability density function
     (PDF) at X of the binomial distribution with parameters N and P,
     where N is the number of trials and P is the probability of
     success.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
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binornd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 734
 -- binornd (N, P)
 -- binornd (N, P, R)
 -- binornd (N, P, R, C, ...)
 -- binornd (N, P, [SZ])
     Return a matrix of random samples from the binomial distribution
     with parameters N and P, where N is the number of trials and P is
     the probability of success.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of N and P.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the binomial distribution with
paramet...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 10
cauchy_cdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 285
 -- cauchy_cdf (X)
 -- cauchy_cdf (X, LOCATION, SCALE)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the Cauchy distribution with location parameter
     LOCATION and scale parameter SCALE.

     Default values are LOCATION = 0, SCALE = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
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cauchy_inv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 280
 -- cauchy_inv (X)
 -- cauchy_inv (X, LOCATION, SCALE)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the Cauchy distribution with location parameter
     LOCATION and scale parameter SCALE.

     Default values are LOCATION = 0, SCALE = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
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# length: 10
cauchy_pdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 285
 -- cauchy_pdf (X)
 -- cauchy_pdf (X, LOCATION, SCALE)
     For each element of X, compute the probability density function
     (PDF) at X of the Cauchy distribution with location parameter
     LOCATION and scale parameter SCALE > 0.

     Default values are LOCATION = 0, SCALE = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
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# elements: 1
# length: 10
cauchy_rnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 736
 -- cauchy_rnd (LOCATION, SCALE)
 -- cauchy_rnd (LOCATION, SCALE, R)
 -- cauchy_rnd (LOCATION, SCALE, R, C, ...)
 -- cauchy_rnd (LOCATION, SCALE, [SZ])
     Return a matrix of random samples from the Cauchy distribution with
     parameters LOCATION and SCALE.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of LOCATION and SCALE.


# name: <cell-element>
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# elements: 1
# length: 80
Return a matrix of random samples from the Cauchy distribution with
parameter...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
chi2cdf


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# length: 170
 -- chi2cdf (X, N)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the chi-square distribution with N degrees of
     freedom.


# name: <cell-element>
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# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
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chi2inv


# name: <cell-element>
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 -- chi2inv (X, N)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the chi-square distribution with N degrees of freedom.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
chi2pdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 166
 -- chi2pdf (X, N)
     For each element of X, compute the probability density function
     (PDF) at X of the chi-square distribution with N degrees of
     freedom.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
chi2rnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 639
 -- chi2rnd (N)
 -- chi2rnd (N, R)
 -- chi2rnd (N, R, C, ...)
 -- chi2rnd (N, [SZ])
     Return a matrix of random samples from the chi-square distribution
     with N degrees of freedom.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the size
     of N.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the chi-square distribution with
N deg...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
expcdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 215
 -- expcdf (X, LAMBDA)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the exponential distribution with mean LAMBDA.

     The arguments can be of common size or scalars.


# name: <cell-element>
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# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
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# length: 6
expinv


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# type: sq_string
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# length: 156
 -- expinv (X, LAMBDA)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the exponential distribution with mean LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
exppdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 157
 -- exppdf (X, LAMBDA)
     For each element of X, compute the probability density function
     (PDF) at X of the exponential distribution with mean LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
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# elements: 1
# length: 6
exprnd


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# type: sq_string
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# length: 652
 -- exprnd (LAMBDA)
 -- exprnd (LAMBDA, R)
 -- exprnd (LAMBDA, R, C, ...)
 -- exprnd (LAMBDA, [SZ])
     Return a matrix of random samples from the exponential distribution
     with mean LAMBDA.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the size
     of LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the exponential distribution with
mean...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
fcdf


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# type: sq_string
# elements: 1
# length: 162
 -- fcdf (X, M, N)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the F distribution with M and N degrees of freedom.


# name: <cell-element>
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# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
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# elements: 1
# length: 4
finv


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# type: sq_string
# elements: 1
# length: 157
 -- finv (X, M, N)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the F distribution with M and N degrees of freedom.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
fpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 158
 -- fpdf (X, M, N)
     For each element of X, compute the probability density function
     (PDF) at X of the F distribution with M and N degrees of freedom.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
frnd


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# length: 649
 -- frnd (M, N)
 -- frnd (M, N, R)
 -- frnd (M, N, R, C, ...)
 -- frnd (M, N, [SZ])
     Return a matrix of random samples from the F distribution with M
     and N degrees of freedom.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of M and N.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the F distribution with M and N
degree...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
gamcdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 176
 -- gamcdf (X, A, B)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the Gamma distribution with shape parameter A and
     scale B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
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# length: 6
gaminv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 171
 -- gaminv (X, A, B)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the Gamma distribution with shape parameter A and
     scale B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
gampdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 171
 -- gampdf (X, A, B)
     For each element of X, return the probability density function
     (PDF) at X of the Gamma distribution with shape parameter A and
     scale B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, return the probability density function (PDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
gamrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 664
 -- gamrnd (A, B)
 -- gamrnd (A, B, R)
 -- gamrnd (A, B, R, C, ...)
 -- gamrnd (A, B, [SZ])
     Return a matrix of random samples from the Gamma distribution with
     shape parameter A and scale B.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of A and B.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the Gamma distribution with shape
para...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
geocdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 298
 -- geocdf (X, P)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the geometric distribution with parameter P.

     The geometric distribution models the number of failures (X-1) of a
     Bernoulli trial with probability P before the first success (X).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
geoinv


# name: <cell-element>
# type: sq_string
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# length: 293
 -- geoinv (X, P)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the geometric distribution with parameter P.

     The geometric distribution models the number of failures (X-1) of a
     Bernoulli trial with probability P before the first success (X).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
geopdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 294
 -- geopdf (X, P)
     For each element of X, compute the probability density function
     (PDF) at X of the geometric distribution with parameter P.

     The geometric distribution models the number of failures (X-1) of a
     Bernoulli trial with probability P before the first success (X).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 6
geornd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 769
 -- geornd (P)
 -- geornd (P, R)
 -- geornd (P, R, C, ...)
 -- geornd (P, [SZ])
     Return a matrix of random samples from the geometric distribution
     with parameter P.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the size
     of P.

     The geometric distribution models the number of failures (X-1) of a
     Bernoulli trial with probability P before the first success (X).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the geometric distribution with
parame...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
hygecdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 455
 -- hygecdf (X, T, M, N)
     Compute the cumulative distribution function (CDF) at X of the
     hypergeometric distribution with parameters T, M, and N.

     This is the probability of obtaining not more than X marked items
     when randomly drawing a sample of size N without replacement from a
     population of total size T containing M marked items.

     The parameters T, M, and N must be positive integers with M and N
     not greater than T.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Compute the cumulative distribution function (CDF) at X of the
hypergeometric...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
hygeinv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 464
 -- hygeinv (X, T, M, N)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the hypergeometric distribution with parameters T, M,
     and N.

     This is the probability of obtaining X marked items when randomly
     drawing a sample of size N without replacement from a population of
     total size T containing M marked items.

     The parameters T, M, and N must be positive integers with M and N
     not greater than T.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
hygepdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 437
 -- hygepdf (X, T, M, N)
     Compute the probability density function (PDF) at X of the
     hypergeometric distribution with parameters T, M, and N.

     This is the probability of obtaining X marked items when randomly
     drawing a sample of size N without replacement from a population of
     total size T containing M marked items.

     The parameters T, M, and N must be positive integers with M and N
     not greater than T.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Compute the probability density function (PDF) at X of the
hypergeometric dis...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
hygernd


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 -- hygernd (T, M, N)
 -- hygernd (T, M, N, R)
 -- hygernd (T, M, N, R, C, ...)
 -- hygernd (T, M, N, [SZ])
     Return a matrix of random samples from the hypergeometric
     distribution with parameters T, M, and N.

     The parameters T, M, and N must be positive integers with M and N
     not greater than T.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of T, M, and N.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the hypergeometric distribution
with p...



# name: <cell-element>
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# elements: 1
# length: 22
kolmogorov_smirnov_cdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 416
 -- kolmogorov_smirnov_cdf (X, TOL)
     Return the cumulative distribution function (CDF) at X of the
     Kolmogorov-Smirnov distribution.

     This is defined as

                   Inf
          Q(x) =   SUM    (-1)^k exp (-2 k^2 x^2)
                 k = -Inf

     for X > 0.

     The optional parameter TOL specifies the precision up to which the
     series should be evaluated; the default is TOL = 'eps'.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return the cumulative distribution function (CDF) at X of the
Kolmogorov-Smir...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 11
laplace_cdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 137
 -- laplace_cdf (X)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the Laplace distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 11
laplace_inv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 132
 -- laplace_inv (X)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the Laplace distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 11
laplace_pdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 133
 -- laplace_pdf (X)
     For each element of X, compute the probability density function
     (PDF) at X of the Laplace distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 11
laplace_rnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 509
 -- laplace_rnd (R)
 -- laplace_rnd (R, C, ...)
 -- laplace_rnd ([SZ])
     Return a matrix of random samples from the Laplace distribution.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 64
Return a matrix of random samples from the Laplace distribution.



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 12
logistic_cdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 139
 -- logistic_cdf (X)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the logistic distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 12
logistic_inv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 134
 -- logistic_inv (X)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the logistic distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 12
logistic_pdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 104
 -- logistic_pdf (X)
     For each element of X, compute the PDF at X of the logistic
     distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 73
For each element of X, compute the PDF at X of the logistic
distribution.



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 12
logistic_rnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 513
 -- logistic_rnd (R)
 -- logistic_rnd (R, C, ...)
 -- logistic_rnd ([SZ])
     Return a matrix of random samples from the logistic distribution.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 65
Return a matrix of random samples from the logistic distribution.



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
logncdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 380
 -- logncdf (X)
 -- logncdf (X, MU, SIGMA)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the lognormal distribution with parameters MU and
     SIGMA.

     If a random variable follows this distribution, its logarithm is
     normally distributed with mean MU and standard deviation SIGMA.

     Default values are MU = 0, SIGMA = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
logninv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 375
 -- logninv (X)
 -- logninv (X, MU, SIGMA)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the lognormal distribution with parameters MU and
     SIGMA.

     If a random variable follows this distribution, its logarithm is
     normally distributed with mean MU and standard deviation SIGMA.

     Default values are MU = 0, SIGMA = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
lognpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 376
 -- lognpdf (X)
 -- lognpdf (X, MU, SIGMA)
     For each element of X, compute the probability density function
     (PDF) at X of the lognormal distribution with parameters MU and
     SIGMA.

     If a random variable follows this distribution, its logarithm is
     normally distributed with mean MU and standard deviation SIGMA.

     Default values are MU = 0, SIGMA = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
lognrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 691
 -- lognrnd (MU, SIGMA)
 -- lognrnd (MU, SIGMA, R)
 -- lognrnd (MU, SIGMA, R, C, ...)
 -- lognrnd (MU, SIGMA, [SZ])
     Return a matrix of random samples from the lognormal distribution
     with parameters MU and SIGMA.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of MU and SIGMA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the lognormal distribution with
parame...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
nbincdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 446
 -- nbincdf (X, N, P)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the negative binomial distribution with parameters N
     and P.

     When N is integer this is the Pascal distribution.  When N is
     extended to real numbers this is the Polya distribution.

     The number of failures in a Bernoulli experiment with success
     probability P before the N-th success follows this distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
nbininv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 441
 -- nbininv (X, N, P)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the negative binomial distribution with parameters N
     and P.

     When N is integer this is the Pascal distribution.  When N is
     extended to real numbers this is the Polya distribution.

     The number of failures in a Bernoulli experiment with success
     probability P before the N-th success follows this distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
nbinpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 442
 -- nbinpdf (X, N, P)
     For each element of X, compute the probability density function
     (PDF) at X of the negative binomial distribution with parameters N
     and P.

     When N is integer this is the Pascal distribution.  When N is
     extended to real numbers this is the Polya distribution.

     The number of failures in a Bernoulli experiment with success
     probability P before the N-th success follows this distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
nbinrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 669
 -- nbinrnd (N, P)
 -- nbinrnd (N, P, R)
 -- nbinrnd (N, P, R, C, ...)
 -- nbinrnd (N, P, [SZ])
     Return a matrix of random samples from the negative binomial
     distribution with parameters N and P.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of N and P.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the negative binomial
distribution wit...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
normcdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 250
 -- normcdf (X)
 -- normcdf (X, MU, SIGMA)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the normal distribution with mean MU and standard
     deviation SIGMA.

     Default values are MU = 0, SIGMA = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
norminv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 245
 -- norminv (X)
 -- norminv (X, MU, SIGMA)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the normal distribution with mean MU and standard
     deviation SIGMA.

     Default values are MU = 0, SIGMA = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
normpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 246
 -- normpdf (X)
 -- normpdf (X, MU, SIGMA)
     For each element of X, compute the probability density function
     (PDF) at X of the normal distribution with mean MU and standard
     deviation SIGMA.

     Default values are MU = 0, SIGMA = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
normrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 712
 -- normrnd (MU, SIGMA)
 -- normrnd (MU, SIGMA, R)
 -- normrnd (MU, SIGMA, R, C, ...)
 -- normrnd (MU, SIGMA, [SZ])
     Return a matrix of random samples from the normal distribution with
     parameters mean MU and standard deviation SIGMA.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of MU and SIGMA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the normal distribution with
parameter...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 8
poisscdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 164
 -- poisscdf (X, LAMBDA)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the Poisson distribution with parameter LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 8
poissinv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 159
 -- poissinv (X, LAMBDA)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the Poisson distribution with parameter LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 8
poisspdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 160
 -- poisspdf (X, LAMBDA)
     For each element of X, compute the probability density function
     (PDF) at X of the Poisson distribution with parameter LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 8
poissrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 661
 -- poissrnd (LAMBDA)
 -- poissrnd (LAMBDA, R)
 -- poissrnd (LAMBDA, R, C, ...)
 -- poissrnd (LAMBDA, [SZ])
     Return a matrix of random samples from the Poisson distribution
     with parameter LAMBDA.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the size
     of LAMBDA.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the Poisson distribution with
paramete...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 13
stdnormal_cdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 187
 -- stdnormal_cdf (X)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the standard normal distribution (mean = 0, standard
     deviation = 1).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 13
stdnormal_inv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 182
 -- stdnormal_inv (X)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the standard normal distribution (mean = 0, standard
     deviation = 1).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 13
stdnormal_pdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 183
 -- stdnormal_pdf (X)
     For each element of X, compute the probability density function
     (PDF) at X of the standard normal distribution (mean = 0, standard
     deviation = 1).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 13
stdnormal_rnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 563
 -- stdnormal_rnd (R)
 -- stdnormal_rnd (R, C, ...)
 -- stdnormal_rnd ([SZ])
     Return a matrix of random samples from the standard normal
     distribution (mean = 0, standard deviation = 1).

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the standard normal distribution
(mean...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
tcdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 168
 -- tcdf (X, N)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the t (Student) distribution with N degrees of
     freedom.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
tinv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 272
 -- tinv (X, N)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the t (Student) distribution with N degrees of
     freedom.

     This function is analogous to looking in a table for the t-value of
     a single-tailed distribution.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
tpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 164
 -- tpdf (X, N)
     For each element of X, compute the probability density function
     (PDF) at X of the T (Student) distribution with N degrees of
     freedom.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 4
trnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 628
 -- trnd (N)
 -- trnd (N, R)
 -- trnd (N, R, C, ...)
 -- trnd (N, [SZ])
     Return a matrix of random samples from the t (Student) distribution
     with N degrees of freedom.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the size
     of N.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the t (Student) distribution with
N de...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unidcdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 208
 -- unidcdf (X, N)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of a discrete uniform distribution which assumes the
     integer values 1-N with equal probability.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unidinv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 205
 -- unidinv (X, N)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the discrete uniform distribution which assumes the
     integer values 1-N with equal probability.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unidpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 367
 -- unidpdf (X, N)
     For each element of X, compute the probability density function
     (PDF) at X of a discrete uniform distribution which assumes the
     integer values 1-N with equal probability.

     Warning: The underlying implementation uses the double class and
     will only be accurate for N < 'flintmax' (2^{53} on IEEE 754
     compatible systems).


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unidrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 738
 -- unidrnd (N)
 -- unidrnd (N, R)
 -- unidrnd (N, R, C, ...)
 -- unidrnd (N, [SZ])
     Return a matrix of random samples from the discrete uniform
     distribution which assumes the integer values 1-N with equal
     probability.

     N may be a scalar or a multi-dimensional array.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the size
     of N.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
Return a matrix of random samples from the discrete uniform distribution
whic...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unifcdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 217
 -- unifcdf (X)
 -- unifcdf (X, A, B)
     For each element of X, compute the cumulative distribution function
     (CDF) at X of the uniform distribution on the interval [A, B].

     Default values are A = 0, B = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the cumulative distribution function
(CDF) at ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unifinv


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 212
 -- unifinv (X)
 -- unifinv (X, A, B)
     For each element of X, compute the quantile (the inverse of the
     CDF) at X of the uniform distribution on the interval [A, B].

     Default values are A = 0, B = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the quantile (the inverse of the CDF) at
X of ...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unifpdf


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 213
 -- unifpdf (X)
 -- unifpdf (X, A, B)
     For each element of X, compute the probability density function
     (PDF) at X of the uniform distribution on the interval [A, B].

     Default values are A = 0, B = 1.


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 80
For each element of X, compute the probability density function (PDF) at
X of...



# name: <cell-element>
# type: sq_string
# elements: 1
# length: 7
unifrnd


# name: <cell-element>
# type: sq_string
# elements: 1
# length: 645
 -- unifrnd (A, B)
 -- unifrnd (A, B, R)
 -- unifrnd (A, B, R, C, ...)
 -- unifrnd (A, B, [SZ])
     Return a matrix of random samples from the uniform distribution on
     [A, B].

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of A and B.


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Return a matrix of random samples from the uniform distribution on [A,
B].



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wblcdf


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 -- wblcdf (X)
 -- wblcdf (X, SCALE)
 -- wblcdf (X, SCALE, SHAPE)
     Compute the cumulative distribution function (CDF) at X of the
     Weibull distribution with scale parameter SCALE and shape parameter
     SHAPE.

     This is defined as

          1 - exp (-(x/scale)^shape)

     for X >= 0.

     Default values are SCALE = 1, SHAPE = 1.


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Compute the cumulative distribution function (CDF) at X of the Weibull
distri...



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wblinv


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 -- wblinv (X)
 -- wblinv (X, SCALE)
 -- wblinv (X, SCALE, SHAPE)
     Compute the quantile (the inverse of the CDF) at X of the Weibull
     distribution with scale parameter SCALE and shape parameter SHAPE.

     Default values are SCALE = 1, SHAPE = 1.


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Compute the quantile (the inverse of the CDF) at X of the Weibull
distributio...



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wblpdf


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 -- wblpdf (X)
 -- wblpdf (X, SCALE)
 -- wblpdf (X, SCALE, SHAPE)
     Compute the probability density function (PDF) at X of the Weibull
     distribution with scale parameter SCALE and shape parameter SHAPE.

     This is given by

          shape * scale^(-shape) * x^(shape-1) * exp (-(x/scale)^shape)

     for X >= 0.

     Default values are SCALE = 1, SHAPE = 1.


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Compute the probability density function (PDF) at X of the Weibull
distributi...



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wblrnd


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 -- wblrnd (SCALE, SHAPE)
 -- wblrnd (SCALE, SHAPE, R)
 -- wblrnd (SCALE, SHAPE, R, C, ...)
 -- wblrnd (SCALE, SHAPE, [SZ])
     Return a matrix of random samples from the Weibull distribution
     with parameters SCALE and SHAPE.

     When called with a single size argument, return a square matrix
     with the dimension specified.  When called with more than one
     scalar argument the first two arguments are taken as the number of
     rows and columns and any further arguments specify additional
     matrix dimensions.  The size may also be specified with a vector of
     dimensions SZ.

     If no size arguments are given then the result matrix is the common
     size of SCALE and SHAPE.


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Return a matrix of random samples from the Weibull distribution with
paramete...



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wienrnd


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 -- wienrnd (T, D, N)
     Return a simulated realization of the D-dimensional Wiener Process
     on the interval [0, T].

     If D is omitted, D = 1 is used.  The first column of the return
     matrix contains time, the remaining columns contain the Wiener
     process.

     The optional parameter N defines the number of summands used for
     simulating the process over an interval of length 1.  If N is
     omitted, N = 1000 is used.


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Return a simulated realization of the D-dimensional Wiener Process on
the int...





