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

Work with the GPD 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 GPDs.

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

Create a paretotails object to model the tails of a distribution by using the GPDs, with another distribution for the center. A paretotails object is a piecewise distribution that consists of one or two GPDs in the tails and another distribution in the center. You can specify the distribution type for the center by using the cdffun argument of paretotails when you create the object. Valid values of cdffun are 'ecdf' (interpolated empirical cumulative distribution), 'kernel' (interpolated kernel smoothing estimator), and a function handle. After creating an object, you can use the object functions to evaluate the distribution and generate random numbers.