Gamma Distribution

Fit, evaluate, and generate random samples from gamma distribution

Statistics and Machine Learning Toolbox™ offers several ways to work with the gamma distribution.

• Create a probability distribution object GammaDistribution by fitting a probability distribution to sample data or by specifying parameter values. Then, use object functions to evaluate the distribution, generate random numbers, and so on.

• Work with the gamma distribution interactively by using the Distribution Fitter app. You can export an object from the app and use the object functions.

• Use distribution-specific functions with specified distribution parameters. The distribution-specific functions can accept parameters of multiple gamma distributions.

• Use generic distribution functions (cdf, icdf, pdf, random) with a specified distribution name ('Gamma') and parameters.

To learn about the gamma distribution, see Gamma Distribution.

Apps

 Distribution Fitter Fit probability distributions to data Probability Distribution Function Interactive density and distribution plots

Functions

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 makedist Create probability distribution object fitdist Fit probability distribution object to data

 cdf Cumulative distribution function gather Gather properties of Statistics and Machine Learning Toolbox object from GPU icdf Inverse cumulative distribution function iqr Interquartile range mean Mean of probability distribution median Median of probability distribution negloglik Negative loglikelihood of probability distribution paramci Confidence intervals for probability distribution parameters pdf Probability density function proflik Profile likelihood function for probability distribution random Random numbers std Standard deviation of probability distribution truncate Truncate probability distribution object var Variance of probability distribution
 gamcdf Gamma cumulative distribution function gampdf Gamma probability density function gaminv Gamma inverse cumulative distribution function gamlike Gamma negative log-likelihood gamstat Gamma mean and variance gamfit Gamma parameter estimates gamrnd Gamma random numbers randg Gamma random numbers with unit scale
 mle Maximum likelihood estimates mlecov Asymptotic covariance of maximum likelihood estimators
 distributionFitter Open Distribution Fitter app histfit Histogram with a distribution fit qqplot Quantile-quantile plot randtool Interactive random number generation

Topics

Gamma Distribution

The gamma distribution models sums of exponentially distributed random variables.