| Name | Description |
|---|
| BernoulliCDF | Bernoulli cumulative distribution function (CDF). |
| BernoulliCDFInv | Bernoulli distribution point percent function (PPF). |
| BernoulliPDF | Bernoulli probability mass function (PMF). |
| BernoulliStat | Bernoulli distribution statistic parameters. |
| Beta | Beta function B. |
| BetaCDF (2) | Beta CDF (vectorized). |
| BetaCDFInv (2) | Beta PPF (vectorized). |
| BetaIncomplete | Regularized incomplete beta function. |
| BetaPDF (2) | Beta PDF (vectorized). |
| BetaStat | Beta distribution moments (mean, variance, skewness, excess kurtosis). |
| BinomCDF (2) | Binomial CDF (vectorized). |
| BinomCDFInv (2) | Binomial PPF (vectorized). |
| Binomial | Binomial coefficient C(n,k). |
| BinomPDF (2) | Binomial PDF (vectorized). |
| BinomStat | Binomial distribution statistic parameters. |
| BoseEinsteinCDF | Bose-Einstein normalization integral (CDF form). |
| BoseEinsteinPDF (2) | Bose-Einstein PDF (vectorized). |
| CauchyCDF (2) | Cauchy CDF (vectorized). |
| CauchyCDFInv (2) | Cauchy PPF (vectorized). |
| CauchyPDF (2) | Cauchy PDF (vectorized). |
| CauchyStat | Cauchy distribution statistic parameters. |
| ChiSquareCDF (2) | Chi-Squared CDF (vectorized). |
| ChiSquareCDFInv (2) | Chi-Squared PPF (vectorized). |
| ChiSquarePDF (2) | Chi-Squared PDF (vectorized). |
| ChiSquareStat | Chi-squared distribution moments (mean, variance, skewness, excess kurtosis). |
| digamma | Returns the digamma function psi(x)=psi^((0))(x). |
| DirichletBeta | Dirichlet Beta function. |
| DirichletEta | Dirichlet Eta function. |
| DirichletLambda | Dirichlet Lambda function. |
| ErlangCDF (2) | Erlang CDF (vectorized). |
| ErlangCDFInv (2) | Erlang PPF (vectorized). |
| ErlangPDF (2) | Erlang PDF (vectorized). |
| ErlangStat | Erlang distribution moments (mean, variance, skewness, excess kurtosis). |
| ExpCDF (2) | Exponential CDF (vectorized). |
| ExpCDFInv (2) | Exponential PPF (vectorized). |
| ExponentStat | Exponential distribution moments (mean, variance, skewness, excess kurtosis). |
| ExpPDF (2) | Exponential PDF (vectorized). |
| FatigueLifeCDF (2) | Fatigue Life CDF (vectorized). |
| FatigueLifeCDFInv (2) | Fatigue Life PPF (vectorized). |
| FatigueLifePDF (2) | Fatigue Life PDF (vectorized). |
| FatigueLifeStat | Fatigue life distribution statistic parameters. |
| FCDF (2) | Fisher(F) CDF (vectorized). |
| FCDFInv (3) | Fisher(F) PPF (vectorized). |
| FermiDiracCDF (2) | Fermi-Dirac cumulative distribution function (CDF). |
| FermiDiracPDF (2) | Fermi-Dirac probability density function (PDF). |
| FPDF (2) | Fisher(F) PDF (vectorized). |
| FStat | F (Fisher-Snedecor) distribution moments (mean, variance, skewness, excess kurtosis). |
| GammaCDF (2) | Gamma distribution CDF (vectorized). |
| GammaCDFInv (2) | Gamma distribution PPF (vectorized). |
| GammaPDF (3) | Gamma distribution PDF (vectorized). |
| GammaStat | Gamma distribution moments (mean, variance, skewness, excess kurtosis). |
| GenExtValueCDF | Generalized extreme value (GEV) cumulative distribution function (CDF). |
| GenExtValueCDFInv | Generalized extreme value (GEV) percent point function (PPF, quantile / inverse CDF). |
| GenExtValuePDF | Generalized extreme value (GEV) probability density function (PDF). |
| GenExtValueStat | Generalized Extreme value distribution statistic parameters. |
| GenHarmonic | Generalized harmonic number H(n,m). |
| GenParetoCDF | Generalized Pareto (GPD) cumulative distribution function (CDF). |
| GenParetoCDFInv | Generalized Pareto (GPD) percent point function (PPF, quantile / inverse CDF). |
| GenParetoPDF | Generalized Pareto (GPD) probability density function (PDF). |
| GenParetoStat | Generalized Pareto value distribution statistic parameters. |
| GeometricCDF (2) | Geometric distribution CDF (vectorized). |
| GeometricCDFInv (2) | Geometric distribution PPF (vectorized). |
| GeometricPDF (2) | Geometric distribution PDF (vectorized). |
| GeometricStat | Geometric distribution statistic parameters. |
| GumbelCDF (2) | Gumbel distribution CDF (vectorized). |
| GumbelCDFInv (2) | Gumbel distribution PPF (vectorized). |
| GumbelPDF (2) | Gumbel distribution PDF (vectorized). |
| GumbelStat | Gumbel distribution statistic parameters. |
| Harmonic | Harmonic number H(n). |
| HypGeometricCDF (2) | Hypergeometric cumulative distribution function (CDF). |
| HypGeometricCDFInv (2) | HyperGeometric distribution PPF (vectorized). |
| HypGeometricPDF (2) | Hypergeometric probability mass function (PMF). |
| HypGeometricStat | Hypergeometric distribution statistic parameters. |
| InverseChiSquareCDF | Inverse Chi-Square cumulative distribution function (CDF). |
| InverseChiSquareCDFInv | Inverse Chi-Square percent point function (PPF, quantile / inverse CDF). |
| InverseChiSquarePDF | Inverse Chi-Square probability density function (PDF). |
| InverseChiSquareStat | Inverse Chi-squared distribution statistic parameters. |
| InverseGaussianCDF (2) | Inverse Gaussian distribution CDF (vectorized). |
| InverseGaussianCDFInv (2) | Inverse Gaussian distribution PPF (vectorized). |
| InverseGaussianPDF (2) | Inverse Gaussian distribution PDF (vectorized). |
| InverseGaussianStat | Inverse Gaussian distribution statistic parameters. |
| JohnsonSBCDF (2) | Johnson bounded (SB) distribution CDF (vectorized). |
| JohnsonSBCDFInv (2) | Johnson bounded (SB) distribution PPF (vectorized). |
| JohnsonSBPDF (2) | Johnson bounded (SB) distribution PDF (vectorized). |
| JohnsonSBStat | Johnson bounded (SB) distribution statistic parameters. |
| JohnsonUBCDF (2) | Johnson unbounded (SU) distribution CDF (vectorized). |
| JohnsonUBCDFInv (2) | Johnson unbounded (SU) distribution PPF (vectorized). |
| JohnsonUBPDF (2) | Johnson unbounded (SU) distribution PDF (vectorized). |
| JohnsonUBStat | Johnson unbounded (SU) distribution statistic parameters. |
| LaplaceCDF (2) | Laplace distribution CDF (vectorized). |
| LaplaceCDFInv (2) | Laplace distribution PPF (vectorized). |
| LaplacePDF (2) | Laplace distribution PDF (vectorized). |
| LaplaceStat | Laplace distribution statistic parameters. |
| Lerch | Lerch transcendent function. |
| LogarithmicCDF | Logarithmic (log-series) cumulative distribution function (CDF). |
| LogarithmicCDFInv | Logarithmic point percent function (PPF). |
| LogarithmicPDF | Logarithmic (log-series) probability mass function (PMF). |
| LogarithmicStat | Logarithmic distribution statistic parameters. |
| LogisticCDF (2) | Logistic CDF (vectorized). |
| LogisticCDFInv (2) | Logistic distribution PPF (vectorized). |
| LogisticPDF (2) | Logistic PDF (vectorized). |
| LogisticStat | Logistic distribution statistic parameters. |
| LogNormalCDF (2) | Log-Normal CDF (vectorized). |
| LogNormalCDFInv (2) | Log-Normql distribution PPF (vectorized). |
| LogNormalPDF (2) | Log-Normal PDF (vectorized). |
| LogNormalStat | Log-normal distribution moments (mean, variance, skewness, excess kurtosis). |
| LogWeibullCDF (2) | Log-Weibull CDF (vectorized). |
| LogWeibullCDFInv (2) | Log-Weibull distribution PPF (vectorized). |
| LogWeibullPDF (2) | Log-Weibull PDF (vectorized). |
| LogWeibullStat | Log-Weibull distribution statistic parameters. |
| MaxwellCDF (2) | Maxwell CDF (vectorized). |
| MaxwellCDFInv (2) | Negative binomial distribution PPF (vectorized). |
| MaxwellPDF (2) | Maxwell PDF (vectorized). |
| MaxwellStat | Maxwell distribution statistic parameters. |
| NegBinomCDF (2) | Negative binomial distribution CDF (vectorized). |
| NegBinomCDFInv (2) | Negative binomial distribution PPF (vectorized). |
| NegBinomPDF (2) | Negative binomial distribution PDF (vectorized). |
| NegBinomStat | Negaive binomial distribution statistic parameters. |
| NormalCDF (3) | Normal distribution CDF (vectorized). |
| NormalCDFInv (2) | Normal distribution PPF (vectorized). |
| NormalCDFTwoTail (2) | Normal distribution two-tailed probability (vectorized; vector or matrix Mu, sigma). |
| NormalPDF (3) | Normal distribution PDF (vectorized). |
| NormalStat | Normal distribution moments (mean, variance, skewness, excess kurtosis). |
| ParetoCDF (2) | Pareto distribution CDF (vectorized). |
| ParetoCDFInv (2) | Pareto distribution PPF (vectorized). |
| ParetoPDF (2) | Pareto distribution PDF (vectorized). |
| ParetoStat | Pareto distribution statistic parameters. |
| PoissonCDF (2) | Poisson distribution CDF (vectorized). |
| PoissonCDFInv (2) | Poisson distribution PPF (vectorized). |
| PoissonPDF (2) | Poisson distribution PDF (vectorized). |
| PoissonStat | Poisson distribution statistic parameters. |
| PowerCDF (2) | Power distribution CDF (vectorized). |
| PowerCDFInv (2) | Power distribution PPF (vectorized). |
| PowerPDF (2) | Power distribution PDF (vectorized). |
| PowerStat | Power distribution statistic parameters. |
| psi | Returns the polygamma function psi^((m))(x) of order derivate. |
| RayleighCDF (2) | Rayleigh distribution CDF (vectorized). |
| RayleighCDFInv (2) | Rayleigh distribution PPF (vectorized). |
| RayleighPDF (2) | Rayleigh distribution PDF (vectorized). |
| RayleighStat | Rayleigh distribution statistic parameters. |
| RiemannZeta | Riemann Zeta function. |
| StudentCDF (2) | Student(T) distribution CDF (vectorized). |
| StudentCDFInv (2) | Student(T) distribution PPF (vectorized). |
| StudentPDF (2) | Student(T) distribution PDF (vectorized). |
| StudentRangeCDF | Cumulative probability distribution for the Studentized Range statistic. |
| StudentRangeCDFInv | Inverse cumulative probability (PPF / quantile) for the Studentized Range distribution. |
| StudentStat | Student's t distribution moments (mean, variance, skewness, kurtosis). |
| TriangularCDF (2) | Triangular distribution CDF (vectorized). |
| TriangularCDFInv (2) | Triangular distribution PPF (vectorized). |
| TriangularPDF (2) | Triangular distribution PDF (vectorized). |
| TriangularStat | Triangular distribution statistic parameters. |
| trigamma | Returns the trigamma function psi^((1))(x). |
| UniformCDF (2) | Discrete uniform distribution CDF (vectorized). |
| UniformCDFInv (2) | Uniform distribution PPF (vectorized). |
| UniformDCDF (2) | Discrete uniform distribution CDF (vectorized). |
| UniformDCDFInv (2) | Discrete uniform distribution PPF (vectorized). |
| UniformDPDF (2) | Discrete uniform distribution PDF (vectorized). |
| UniformDStat | Discrete uniform distribution statistic parameters. |
| UniformPDF (2) | Uniform distribution PDF (vectorized). |
| UniformStat | Unniform distribution statistic parameters. |
| WeibullCDF (2) | Weibull distribution CDF (vectorized). |
| WeibullCDFInv (2) | Weibull distribution PPF (vectorized). |
| WeibullPDF (2) | Weibull distribution PDF (vectorized). |
| WeibullStat | Weibull distribution moment estimates. |
| ZipfCDF (2) | Zipf distribution CDF (vectorized). |
| ZipfCDFInv (2) | Zipf distribution PPF (vectorized). |
| ZipfPDF (2) | Zipf distribution PDF (vectorized). |
| ZipfStat | Zipf distribution moment estimates. |