Statistical distributions and sampling

Cumulative distributions

cdfBeta	Computes integral of beta function.
cdfBetaInv	Computes the quantile or inverse of the beta cumulative distribution function.
cdfBinomial	Computes the binomial cumulative distribution function.
cdfBinomialInv	Computes the binomial quantile or inverse cumulative distribution function.
cdfBvn	Computes lower tail of bivariate Normal cdf.
cdfBvn2	Returns cdfbvn of a bounded rectangle.
cdfBvn2e	Returns cdfbvn of a bounded rectangle and error estimates.
cdfCauchy	Computes the cumulative distribution function for the Cauchy distribution.
cdfCauchyInv	Computes the Cauchy inverse cumulative distribution function.
cdfChic	Computes complement of cdf of \(\chi^2\).
cdfChii	Computes \(\chi^2\) abscissae values given probability and degrees of freedom.
cdfChinc	Computes integral of noncentral \(\chi^2\).
cdfEmpirical	Computes the cumulative distribution function for the empirical distribution.
cdfExp	Computes the cumulative distribution function for the exponential distribution.
cdfExpInv	Computes the exponential inverse cumulative distribution function.
cdfFc	Computes complement of cdf of F.
cdfFnc	Computes integral of noncentral F.
cdfFncInv	Computes the quantile or inverse of noncentral F cumulative distribution function.
cdfGam	Computes integral of incomplete gamma function.
cdfGenPareto	Computes the cumulative distribution function for the Generalized Pareto distribution.
cdfHyperGeo	Computes the cumulative distribution function of the hypergeometric distribution.
cdfLaplace	Computes the cumulative distribution function for the Laplace distribution.
cdfLaplaceInv	Computes the Laplace inverse cumulative distribution function.
cdfLogNorm	Computes the cumulative distribution function of the log-normal distribution.
cdfMvn	Computes multivariate Normal cdf.
cdfMvnce	Computes the complement of the multivariate Normal cumulative distribution function with error management
cdfMvne	Computes multivariate Normal cumulative distribution function with error management
cdfMvn2e	Computes the multivariate Normal cumulative distribution function with error management over the range \([a,b]\)
cdfMvtce	Computes complement of multivariate Student’s t cumulative distribution function with error management
cdfMvte	Computes multivariate Student’s t cumulative distribution function with error management
cdfMvt2e	Computes multivariate Student’s t cumulative distribution function with error management over \([a,b]\)
cdfn, cdfnc	Computes integral (or complement) of Normal distribution: lower tail, or cdf.
cdfN2	Computes interval of Normal cdf.
cdfNegBinomial	Computes the cumulative distribution function for the negative binomial distribution.
cdfNegBinomialInv	Computes the quantile or inverse negative binomial cumulative distribution function.
cdfni	Computes the inverse of the cdf of the Normal distribution.
cdfPoisson	Computes the Poisson cumulative distribution function.
cdfPoissonInv	Computes the quantile or inverse Poisson cumulative distribution function.
cdfRayleigh	Computes the Rayleigh cumulative distribution function.
cdfRayleighInv	Computes the Rayleigh inverse cumulative distribution function.
cdfTc	Computes complement of cdf of t-distribution.
cdfTci	Computes the inverse of the complement of the Student’s t cdf.
cdfTnc	Computes integral of noncentral t-distribution.
cdfTvn	Computes lower tail of trivariate Normal cdf.
cdfTruncNorm	Computes the cumulative distribution function of the normal distibution over the interval from a to b.
cdfWeibull	Computes the cumulative distribution function for the Weibull distribution.
cdfWeibullInv	Computes the Weibull inverse cumulative distribution function.
erf, erfc	Computes the Gaussian error function, or its complement.
erfcplx, erfccplx	Computes the Gaussian error function for complex inputs or its complement.
lncdfbvn	Computes natural log of bivariate Normal cdf.
lncdfbvn2	Returns log of cdfbvn of a bounded rectangle.
lncdfmvn	Computes natural log of multivariate Normal cdf.
lncdfn	Computes natural log of Normal cdf.
lncdfn2	Computes natural log of interval of Normal cdf.
lncdfnc	Computes natural log of complement of Normal cdf.

Probability density and mass

lnpdfmvn	Computes multivariate Normal log-probabilities.
lnpdfmvt	Computes multivariate Student’s t log-probabilities.
lnpdfn	Computes Normal log-probabilities.
lnpdft	Computes Student’s t log-probabilities.
pdfBinomial	Computes the probability mass function for the binomial distribution.
pdfCauchy	Computes the probability density function for the Cauchy distribution.
pdfexp	Computes the probability density function for the exponential distribution.
pdfGenPareto	Computes the probability density function for the Generalized Pareto distribution.
pdfHyperGeo	Computes the probability mass function for the hypergeometric distribution.
pdfLaplace	Computes the probability density function for the Laplace distribution.
pdflogistic	Computes the probability density function for the logistic distribution.
pdfLogNorm	Computes the probability density function of the log-normal distribution.
pdfn	Computes standard Normal probability density function.
pdfPoisson	Computes the probability mass function for the Poisson distribution.
pdfRayleigh	Computes the probability density function of the Rayleigh distribution.
pdfTruncNorm	Computes the cumulative distribution function of the normal distribution over the interval from a to b.
pdfWeibull	Computes the probability density function of a Weibull random variable.
pdfWishartInv	Computes the probability density function of a inverse Wishart distribution.

Random Numbers

rndBernoulli	Computes random numbers with Bernoulli distribution.
rndBeta	Computes random numbers with beta distribution.
rndBinomial	Computes binomial pseudo-random numbers with the choice of underlying random number generator.
rndCauchy	Computes Cauchy distributed random numbers with a choice of underlying random number generator.
rndChiSquare	Creates pseudo-random numbers with a chi-squared distribution, with an optional non-centrality parameter and a choice of underlying random number generator.
rndCreateState	Creates a new random number stream for a specified generator type from a seed value.
rndExp	Computes exponentially distributed random numbers with a choice of underlying random number generator.
rndGamma	Computes gamma pseudo-random numbers with a choice of underlying random number generator.
rndGeo	Computes geometric pseudo-random numbers with a choice of underlying random number generator.
rndGumbel	Computes Gumbel distributed random numbers with a choice of underlying random number generator.
rndHyperGeo	Computes pseudo-random numbers following a hypergeometric distribution with a choice of underlying random number generator.
rndi	Returns random integers in a specified range.
rndKMvm	Computes von Mises pseudo-random numbers.
rndLaplace	Computes Laplacian pseudo-random numbers with the choice of underlying random number generator.
rndLogNorm	Computes lognormal pseudo-random numbers with the choice of underlying random number generator.
rndMVn	Computes multivariate normal random numbers given a covariance matrix.
rndMVt	Computes multivariate Student-t random numbers given a covariance matrix.
rndn	Computes normally distributed pseudo-random numbers with a choice of underlying random number generator.
rndNegBinomial	Computes negative binomial pseudo-random numbers with a choice of underlying random number generator.
rndPoisson	Computes Poisson pseudo-random numbers with a choice of underlying random number generator.
rndRayleigh	Computes Rayleigh pseudo-random numbers with the choice of underlying random number generator.
rndseed	Changes seed of the random number generator.
rndStateSkip	Used to skip ahead in a random number sequence.
rndu	Computes uniform random numbers with a choice of underlying random number generator.
rndWeibull	Computes Weibull pseudo-random numbers with the choice of underlying random number generator.
rndWishart	Computes Wishart pseudo-random matrices with the choice of underlying random number generator.
rndWishartInv	Computes inverse Wishart pseudo-random matrices with the choice of underlying random number generator.

Sampling

sampleData

Returns a sample of the rows of a dataframe or matrix, chosen with or without replacement