Statistics Toolbox    

Probability Distributions

For each supported distribution, the Statistics Toolbox provides associated functions in each of these categories
Parameter Estimation
Cumulative Distribution Functions (cdf)
Probability Density Functions (pdf)
Inverse Cumulative Distribution Functions
Random Number Generators
Moments of Distribution Functions

Parameter Estimation
betafit
Parameter estimation for the beta distribution
betalike
Negative beta log-likelihood function
binofit
Parameter estimation for the binomial distribution
expfit
Parameter estimation for the exponential distribution
gamfit
Parameter estimation for the gamma distribution
gamlike
Negative gamma log-likelihood function
mle
Maximum likelihood estimation
nbinfit
Parameter estimates and confidence intervals for negative binomial data
normfit
Parameter estimation for the normal distribution
normlike
Negative normal log-likelihood function
poissfit
Parameter estimation for the Poisson distribution
raylfit
Rayleigh parameter estimation
unifit
Parameter estimation for the uniform distribution
weibfit
Weibull parameter estimation
weiblike
Weibull negative log-likelihood function

Cumulative Distribution Functions (cdf)
betacdf
Beta cdf
binocdf
Binomial cdf
cdf
Parameterized cdf routine
chi2cdf
Chi-square cdf
ecdf
Empirical (Kaplan-Meier) cdf
expcdf
Exponential cdf
fcdf
F cdf
gamcdf
Gamma cdf
geocdf
Geometric cdf
hygecdf
Hypergeometric cdf
logncdf
Lognormal cdf
nbincdf
Negative binomial cdf
ncfcdf
Noncentral F cdf
nctcdf
Noncentral t cdf
ncx2cdf
Noncentral Chi-square cdf
normcdf
Normal (Gaussian) cdf
poisscdf
Poisson cdf
raylcdf
Rayleigh cdf
tcdf
Student's t cdf
unidcdf
Discrete uniform cdf
unifcdf
Continuous uniform cdf
weibcdf
Weibull cdf

Probability Density Functions (pdf)
betapdf
Beta pdf
binopdf
Binomial pdf
chi2pdf
Chi-square pdf
exppdf
Exponential pdf
fpdf
F pdf
gampdf
Gamma pdf
geopdf
Geometric pdf
hygepdf
Hypergeometric pdf
lognpdf
Lognormal pdf
mvnpdf
Multivariate normal pdf
nbinpdf
Negative binomial pdf
ncfpdf
Noncentral F pdf
nctpdf
Noncentral t pdf
ncx2pdf
Noncentral Chi-square pdf
normpdf
Normal (Gaussian) pdf
pdf
Parameterized pdf routine
poisspdf
Poisson pdf
raylpdf
Rayleigh pdf
tpdf
Student's t pdf
unidpdf
Discrete uniform pdf
unifpdf
Continuous uniform pdf
weibpdf
Weibull pdf

Inverse Cumulative Distribution Functions
betainv
Beta critical values
binoinv
Binomial critical values
chi2inv
Chi-square critical values
expinv
Exponential critical values
finv
F critical values
gaminv
Gamma critical values
geoinv
Geometric critical values
hygeinv
Hypergeometric critical values
icdf
Parameterized inverse distribution routine
logninv
Lognormal critical values
nbininv
Negative binomial critical values
ncfinv
Noncentral F critical values
nctinv
Noncentral t critical values
ncx2inv
Noncentral Chi-square critical values
norminv
Normal (Gaussian) critical values
poissinv
Poisson critical values
raylinv
Rayleigh critical values
tinv
Student's t critical values
unidinv
Discrete uniform critical values
unifinv
Continuous uniform critical values
weibinv
Weibull critical values

Random Number Generators
betarnd
Beta random numbers
binornd
Binomial random numbers
chi2rnd
Chi-square random numbers
exprnd
Exponential random numbers
frnd
F random numbers
gamrnd
Gamma random numbers
geornd
Geometric random numbers
hygernd
Hypergeometric random numbers
iwishrnd
Inverse Wishart random matrix
lhsdesign
Latin hypercube sample
lhsnorm
Latin hypercube sample with normal distribution
lognrnd
Lognormal random numbers
mvnrnd
Multivariate normal random numbers
mvtrnd
Multivariate t random numbers
nbinrnd
Negative binomial random numbers
ncfrnd
Noncentral F random numbers
nctrnd
Noncentral t random numbers
ncx2rnd
Noncentral Chi-square random numbers
normrnd
Normal (Gaussian) random numbers
poissrnd
Poisson random numbers
random
Parameterized random number routine
raylrnd
Rayleigh random numbers
trnd
Student's t random numbers
unidrnd
Discrete uniform random numbers
unifrnd
Continuous uniform random numbers
weibrnd
Weibull random numbers
wishrnd
Wishart random matrix

Moments of Distribution Functions
betastat
Beta mean and variance
binostat
Binomial mean and variance
chi2stat
Chi-square mean and variance
expstat
Exponential mean and variance
fstat
F mean and variance
gamstat
Gamma mean and variance
geostat
Geometric mean and variance
hygestat
Hypergeometric mean and variance
lognstat
Lognormal mean and variance
nbinstat
Negative binomial mean and variance
ncfstat
Noncentral F mean and variance
nctstat
Noncentral t mean and variance
ncx2stat
Noncentral Chi-square mean and variance
normstat
Normal (Gaussian) mean and variance
poisstat
Poisson mean and variance
raylstat
Rayleigh mean and variance
tstat
Student's t mean and variance
unidstat
Discrete uniform mean and variance
unifstat
Continuous uniform mean and variance
weibstat
Weibull mean and variance


  Reference Descriptive Statistics