Probabilities Namespace

Header: Dew.Math/Units.Probabilities.h · Cross-compiler

namespace Dew::Math::Units::Probabilities

Functions

NameDescription
BernoulliCDFBernoulli cumulative distribution function (CDF).
BernoulliCDFInvBernoulli distribution point percent function (PPF).
BernoulliPDFBernoulli probability mass function (PMF).
BernoulliStatBernoulli distribution statistic parameters.
BetaBeta function B.
BetaCDF (2)Beta distribution cumulative distribution function (CDF).
BetaCDFInv (2)Beta distribution inverse CDF (quantile / point percent function, PPF).
BetaIncompleteRegularized incomplete beta function.
BetaPDF (2)Beta distribution probability density function (PDF).
BetaStatBeta distribution moments (mean, variance, skewness, excess kurtosis).
BinomCDF (2)Binomial cumulative distribution function (CDF).
BinomCDFInv (2)Binomial distribution point percent function (PPF).
BinomialBinomial coefficient C(n,k).
BinomPDF (2)Binomial probability mass function (PMF).
BinomStatBinomial distribution statistic parameters.
BoseEinsteinCDFBose-Einstein normalization integral (CDF form).
BoseEinsteinPDF (2)Bose-Einstein occupation function (PDF form).
CauchyCDF (2)Cauchy cumulative distribution function (CDF).
CauchyCDFInv (2)Cauchy distribution point percent function (PPF).
CauchyPDF (2)Cauchy probability density function (PDF).
CauchyStatCauchy distribution statistic parameters.
ChiSquareCDF (2)Chi-squared cumulative distribution function (CDF).
ChiSquareCDFInv (2)Chi-squared distribution inverse CDF (quantile / point percent function, PPF).
ChiSquarePDF (2)Chi-squared probability density function (PDF).
ChiSquareStatChi-squared distribution moments (mean, variance, skewness, excess kurtosis).
digammaReturns the digamma function psi(x)=psi^((0))(x).
DirichletBetaDirichlet Beta function.
DirichletEtaDirichlet Eta function.
DirichletLambdaDirichlet Lambda function.
ErlangCDF (2)Erlang cumulative distribution function (CDF).
ErlangCDFInv (2)Erlang distribution inverse CDF (quantile / point percent function, PPF).
ErlangPDF (2)Erlang probability density function (PDF).
ErlangStatErlang distribution moments (mean, variance, skewness, excess kurtosis).
ExpCDF (2)Exponential cumulative distribution function (CDF).
ExpCDFInv (2)Exponential distribution inverse CDF (quantile / point percent function, PPF).
ExponentStatExponential distribution moments (mean, variance, skewness, excess kurtosis).
ExpPDF (2)Exponential probability density function (PDF).
FatigueLifeCDF (2)Fatigue life (Birnbaum-Saunders) cumulative distribution function (CDF).
FatigueLifeCDFInv (2)Fatigue life (Birnbaum-Saunders) percent point function (PPF, quantile / inverse CDF).
FatigueLifePDF (2)Fatigue life (Birnbaum-Saunders) probability density function (PDF).
FatigueLifeStatFatigue life distribution statistic parameters.
FCDF (2)F (Fisher-Snedecor) cumulative distribution function (CDF).
FCDFInv (3)F distribution inverse CDF (quantile / point percent function, PPF).
FermiDiracCDF (2)Fermi-Dirac normalization integral (CDF form).
FermiDiracPDF (2)Fermi-Dirac occupation function (PDF form).
FPDF (2)F (Fisher-Snedecor) probability density function (PDF).
FStatF (Fisher-Snedecor) distribution moments (mean, variance, skewness, excess kurtosis).
GammaCDF (2)Gamma distribution cumulative distribution function (CDF).
GammaCDFInv (2)Gamma distribution inverse CDF (quantile / point percent function, PPF).
GammaPDF (3)Gamma distribution probability density function (PDF).
GammaStatGamma distribution moments (mean, variance, skewness, excess kurtosis).
GenExtValueCDFGeneralized extreme value (GEV) cumulative distribution function (CDF).
GenExtValueCDFInvGeneralized extreme value (GEV) percent point function (PPF, quantile / inverse CDF).
GenExtValuePDFGeneralized extreme value (GEV) probability density function (PDF).
GenExtValueStatGeneralized Extreme value distribution statistic parameters.
GenHarmonicGeneralized harmonic number H(n,m).
GenParetoCDFGeneralized Pareto (GPD) cumulative distribution function (CDF).
GenParetoCDFInvGeneralized Pareto (GPD) percent point function (PPF, quantile / inverse CDF).
GenParetoPDFGeneralized Pareto (GPD) probability density function (PDF).
GenParetoStatGeneralized Pareto value distribution statistic parameters.
GeometricCDF (2)Geometric cumulative distribution function (CDF).
GeometricCDFInv (2)Geometric distribution point percent function (PPF).
GeometricPDF (2)Geometric probability mass function (PMF).
GeometricStatGeometric distribution statistic parameters.
GumbelCDF (2)Gumbel cumulative distribution function (CDF).
GumbelCDFInv (2)Gumbel distribution point percent function (PPF).
GumbelPDF (2)Gumbel probability density function (PDF).
GumbelStatGumbel distribution statistic parameters.
HarmonicHarmonic number H(n).
HypGeometricCDF (2)Hypergeometric cumulative distribution function (CDF).
HypGeometricCDFInv (2)Hypergeometric distribution point percent function (PPF).
HypGeometricPDF (2)Hypergeometric probability mass function (PMF).
HypGeometricStatHypergeometric distribution statistic parameters.
InverseChiSquareCDFInverse Chi-Square cumulative distribution function (CDF).
InverseChiSquareCDFInvInverse Chi-Square percent point function (PPF, quantile / inverse CDF).
InverseChiSquarePDFInverse Chi-Square probability density function (PDF).
InverseChiSquareStatInverse Chi-squared distribution statistic parameters.
InverseGaussianCDF (2)Inverse Gaussian (Wald) cumulative distribution function (CDF).
InverseGaussianCDFInv (2)Inverse Gaussian (Wald) percent point function (PPF, quantile / inverse CDF).
InverseGaussianPDF (2)Inverse Gaussian (Wald) probability density function (PDF).
InverseGaussianStatInverse Gaussian distribution statistic parameters.
JohnsonSBCDF (2)Johnson bounded (S_B) cumulative distribution function (CDF).
JohnsonSBCDFInv (2)Johnson bounded (S_B) percent point function (PPF, quantile / inverse CDF).
JohnsonSBPDF (2)Johnson bounded (S_B) probability density function (PDF).
JohnsonSBStatJohnson bounded (SB) distribution statistic parameters.
JohnsonUBCDF (2)Johnson unbounded (S_U) cumulative distribution function (CDF).
JohnsonUBCDFInv (2)Johnson unbounded (S_U) percent point function (PPF, quantile / inverse CDF).
JohnsonUBPDF (2)Johnson unbounded (S_U) probability density function (PDF).
JohnsonUBStatJohnson unbounded (SU) distribution statistic parameters.
LaplaceCDF (2)Laplace cumulative distribution function (CDF).
LaplaceCDFInv (2)Laplace distribution point percent function (PPF).
LaplacePDF (2)Laplace probability density function (PDF).
LaplaceStatLaplace distribution statistic parameters.
LerchLerch transcendent function.
LogarithmicCDFLogarithmic (log-series) cumulative distribution function (CDF).
LogarithmicCDFInvLogarithmic point percent function (PPF).
LogarithmicPDFLogarithmic (log-series) probability mass function (PMF).
LogarithmicStatLogarithmic distribution statistic parameters.
LogisticCDF (2)Logistic cumulative distribution function (CDF).
LogisticCDFInv (2)Logistic distribution point percent function (PPF).
LogisticPDF (2)Logistic probability density function (PDF).
LogisticStatLogistic distribution statistic parameters.
LogNormalCDF (2)Log-normal cumulative distribution function (CDF).
LogNormalCDFInv (2)Log-normal distribution inverse CDF (quantile / PPF).
LogNormalPDF (2)Log-normal probability density function (PDF).
LogNormalStatLog-normal distribution moments (mean, variance, skewness, excess kurtosis).
LogWeibullCDF (2)Log-Weibull cumulative distribution function (CDF).
LogWeibullCDFInv (2)Log-Weibull distribution point percent function (PPF).
LogWeibullPDF (2)Log-Weibull probability density function (PDF).
LogWeibullStatLog-Weibull distribution statistic parameters.
MaxwellCDF (2)Maxwell cumulative distribution function (CDF).
MaxwellCDFInv (2)Maxwell distribution point percent function (PPF).
MaxwellPDF (2)Maxwell probability density function (PDF).
MaxwellStatMaxwell distribution statistic parameters.
NegBinomCDF (2)Negative binomial cumulative distribution function (CDF).
NegBinomCDFInv (2)Negative binomial distribution point percent function (PPF).
NegBinomPDF (2)Negative binomial probability mass function (PMF).
NegBinomStatNegaive binomial distribution statistic parameters.
NormalCDF (3)Normal (Gaussian) cumulative distribution function (CDF).
NormalCDFInv (2)Normal distribution inverse CDF (quantile / point percent function, PPF).
NormalCDFTwoTail (2)Normal distribution two-tailed probability (vectorized; vector or matrix Mu, sigma).
NormalPDF (3)Normal (Gaussian) probability density function (PDF).
NormalStatNormal distribution moments (mean, variance, skewness, excess kurtosis).
ParetoCDF (2)Pareto cumulative distribution function (CDF).
ParetoCDFInv (2)Pareto distribution point percent function (PPF).
ParetoPDF (2)Pareto probability density function (PDF).
ParetoStatPareto distribution statistic parameters.
PoissonCDF (2)Poisson cumulative distribution function (CDF).
PoissonCDFInv (2)Poisson distribution point percent function (PPF).
PoissonPDF (2)Poisson probability mass function (PMF).
PoissonStatPoisson distribution statistic parameters.
PowerCDF (2)Power distribution cumulative distribution function (CDF).
PowerCDFInv (2)Power distribution point percent function (PPF).
PowerPDF (2)Power distribution probability density function (PDF).
PowerStatPower distribution statistic parameters.
psiReturns the polygamma function psi^((m))(x) of order derivate.
RayleighCDF (2)Rayleigh cumulative distribution function (CDF).
RayleighCDFInv (2)Rayleigh distribution point percent function (PPF).
RayleighPDF (2)Rayleigh probability density function (PDF).
RayleighStatRayleigh distribution statistic parameters.
RiemannZetaRiemann Zeta function.
StudentCDF (2)Student's t cumulative distribution function (CDF).
StudentCDFInv (2)Student's t distribution inverse CDF (quantile / point percent function, PPF).
StudentPDF (2)Student's t probability density function (PDF).
StudentRangeCDFCumulative probability distribution for the Studentized Range statistic.
StudentRangeCDFInvInverse cumulative probability (PPF / quantile) for the Studentized Range distribution.
StudentStatStudent's t distribution moments (mean, variance, skewness, kurtosis).
TriangularCDF (2)Triangular cumulative distribution function (CDF).
TriangularCDFInv (2)Triangular distribution point percent function (PPF).
TriangularPDF (2)Triangular probability density function (PDF).
TriangularStatTriangular distribution statistic parameters.
trigammaReturns the trigamma function psi^((1))(x).
UniformCDF (2)Uniform cumulative distribution function (CDF).
UniformCDFInv (2)Uniform distribution point percent function (PPF).
UniformDCDF (2)Discrete uniform cumulative distribution function (CDF).
UniformDCDFInv (2)Discrete uniform distribution point percent function (PPF).
UniformDPDF (2)Discrete uniform probability mass function (PMF).
UniformDStatDiscrete uniform distribution statistic parameters.
UniformPDF (2)Uniform probability density function (PDF).
UniformStatUnniform distribution statistic parameters.
WeibullCDF (2)Weibull cumulative distribution function (CDF).
WeibullCDFInv (2)Weibull distribution point percent function (PPF).
WeibullPDF (2)Weibull probability density function (PDF).
WeibullStatWeibull distribution moment estimates.
ZipfCDF (2)Zipf (finite/truncated) cumulative distribution function (CDF).
ZipfCDFInv (2)Zipf distribution point percent function (PPF).
ZipfPDF (2)Zipf (finite/truncated) probability mass function (PMF).
ZipfStatZipf distribution moment estimates.