Supported Distributions :: Probability Distributions (Statistics Toolbox™)

Name	pdf	cdf	inv	stat	fit	like	rnd
Beta	`betapdf`, `pdf`	`betacdf`, `cdf`	`betainv`, `icdf`	`betastat`	`betafit`, `mle`	`betalike`	`betarnd`, `random`, `randtool`
Birnbaum- Saunders					`dfittool`
Exponential	`exppdf`, `pdf`	`expcdf`, `cdf`	`expinv`, `icdf`	`expstat`	`expfit`, `mle`, `dfittool`	`explike`	`exprnd`, `random`, `randtool`
Extreme value	`evpdf`, `pdf`	`evcdf`, `cdf`	`evinv`, `icdf`	`evstat`	`evfit`, `mle`, `dfittool`	`evlike`	`evrnd`, `random`, `randtool`
Gamma	`gampdf`, `pdf`	`gamcdf`, `cdf`	`gaminv`, `icdf`	`gamstat`	`gamfit`, `mle`, `dfittool`	`gamlike`	`gamrnd`, `randg`, `random`, `randtool`
Generalized extreme value	`gevpdf`, `pdf`	`gevcdf`, `cdf`	`gevinv`, `icdf`	`gevstat`	`gevfit`, `mle`, `dfittool`	`gevlike`	`gevrnd`, `random`, `randtool`
Generalized Pareto	`gppdf`, `pdf`	`gpcdf`, `cdf`	`gpinv`, `icdf`	`gpstat`	`gpfit`, `mle`, `dfittool`	`gplike`	`gprnd`, `random`, `randtool`
Inverse Gaussian					`dfittool`
Johnson system					`johnsrnd`		`johnsrnd`
Logistic					`dfittool`
Loglogistic					`dfittool`
Lognormal	`lognpdf`, `pdf`	`logncdf`, `cdf`	`logninv`, `icdf`	`lognstat`	`lognfit`, `mle`, `dfittool`	`lognlike`	`lognrnd`, `random`, `randtool`
Nakagami					`dfittool`
Normal (Gaussian)	`normpdf`, `pdf`	`normcdf`, `cdf`	`norminv`, `icdf`	`normstat`	`normfit`, `mle`, `dfittool`	`normlike`	`normrnd`, `randn`, `random`, `randtool`
Pearson system					`pearsrnd`		`pearsrnd`
Piecewise	`pdf`	`cdf`	`icdf`		`paretotails`		`random`
Rayleigh	`raylpdf`, `pdf`	`raylcdf`, `cdf`	`raylinv`, `icdf`	`raylstat`	`raylfit`, `mle`, `dfittool`		`raylrnd`, `random`, `randtool`
Rician					`dfittool`
Uniform (continuous)	`unifpdf`, `pdf`	`unifcdf`, `cdf`	`unifinv`, `icdf`	`unifstat`	`unifit`, `mle`		`unifrnd`, `rand`, `random`
Weibull	`wblpdf`, `pdf`	`wblcdf`, `cdf`	`wblinv`, `icdf`	`wblstat`	`wblfit`, `mle`, `dfittool`	`wbllike`	`wblrnd`, `random`

Name	pdf	cdf	inv	stat	fit	rnd
Chi-square	`chi2pdf`, `pdf`	`chi2cdf`, `cdf`	`chi2inv`, `icdf`	`chi2stat`		`chi2rnd`, `random`, `randtool`
F	`fpdf`, `pdf`	`fcdf`, `cdf`	`finv`, `icdf`	`fstat`		`frnd`, `random`, `randtool`
Noncentral chi-square	`ncx2pdf`, `pdf`	`ncx2cdf`, `cdf`	`ncx2inv`, `icdf`	`ncx2stat`		`ncx2rnd`, `random`, `randtool`
Noncentral F	`ncfpdf`, `pdf`	`ncfcdf`, `cdf`	`ncfinv`, `icdf`	`ncfstat`		`ncfrnd`, `random`, `randtool`
Noncentral t	`nctpdf`, `pdf`	`nctcdf`, `cdf`	`nctinv`, `icdf`	`nctstat`		`nctrnd`, `random`, `randtool`
Student's t	`tpdf`, `pdf`	`tcdf`, `cdf`	`tinv`, `icdf`	`tstat`		`trnd`, `random`, `randtool`
t location- scale					`dfittool`

Name	pdf	cdf	inv	stat	fit	rnd
Binomial	`binopdf`, `pdf`	`binocdf`, `cdf`	`binoinv`, `icdf`	`binostat`	`binofit`, `mle`, `dfittool`	`binornd`, `random`, `randtool`
Bernoulli					`mle`
Geometric	`geopdf`, `pdf`	`geocdf`, `cdf`	`geoinv`, `icdf`	`geostat`	`mle`	`geornd`, `random`, `randtool`
Hypergeometric	`hygepdf`, `pdf`	`hygecdf`, `cdf`	`hygeinv`, `icdf`	`hygestat`		`hygernd`, `random`
Multinomial	`mnpdf`					`mnrnd`
Negative binomial	`nbinpdf`, `pdf`	`nbincdf`, `cdf`	`nbininv`, `icdf`	`nbinstat`	`nbinfit`, `mle`, `dfittool`	`nbinrnd`, `random`, `randtool`
Poisson	`poisspdf`, `pdf`	`poisscdf`, `cdf`	`poissinv`, `icdf`	`poisstat`	`poissfit`, `mle`, `dfittool`	`poissrnd`, `random`, `randtool`
Uniform (discrete)	`unidpdf`, `pdf`	`unidcdf`, `cdf`	`unidinv`, `icdf`	`unidstat`	`mle`	`unidrnd`, `random`, `randtool`

Name	pdf	cdf	stat	fit	rnd
Gaussian copula	`copulapdf`	`copulacdf`	`copulastat`	`copulafit`	`copularnd`
Gaussian mixture	`pdf`	`cdf`		`fit`	`random`
t copula	`copulapdf`	`copulacdf`	`copulastat`	`copulafit`	`copularnd`
Clayton copula	`copulapdf`	`copulacdf`	`copulastat`	`copulafit`	`copularnd`
Frank copula	`copulapdf`	`copulacdf`	`copulastat`	`copulafit`	`copularnd`
Gumbel copula	`copulapdf`	`copulacdf`	`copulastat`	`copulafit`	`copularnd`
Inverse Wishart					`iwishrnd`
Multivariate normal	`mvnpdf`	`mvncdf`			`mvnrnd`
Multivariate t	`mvtpdf`	`mvtcdf`			`mvtrnd`
Wishart					`wishrnd`

Supported Distributions

Parametric Distributions

Continuous Distributions (Data)

Continuous Distributions (Statistics)

Discrete Distributions

Multivariate Distributions

Nonparametric Distributions