Pareto

class Pareto(shape, scale)

Bases: ContinuousDistribution

Class for the two-parameter Pareto distribution.

The Pareto distribution is a power-law probability distribution commonly used to model phenomena with heavy-tailed behavior, such as income distribution, city population sizes, or file sizes.

Parameters:

• shape (float) – Shape parameter. Must be positive.

• scale (float) – Scale parameter. Must be positive.

Variables:

• shape (float) – Shape parameter of the distribution.

• scale (float) – Scale (minimum) parameter of the distribution.

Methods

pdf(X)	Probability density function (PDF).
ppf(P)	Percent Point Function (PPF) or quantile function.
lpdf(X)	Log of the Probability Density Function (LPDF).
log_gradients(X)	Calculates the gradients of the log-PDF w.r.t.
generate(size)	Generates random samples from the distribution.