boostmath (version 1.0.0)

pareto_distribution: Pareto Distribution Functions

Description

Functions to compute the probability density function, cumulative distribution function, and quantile function for the Pareto distribution.

Usage

pareto_pdf(x, shape = 1, scale = 1)
pareto_lpdf(x, shape = 1, scale = 1)
pareto_cdf(x, shape = 1, scale = 1)
pareto_lcdf(x, shape = 1, scale = 1)
pareto_quantile(p, shape = 1, scale = 1)

Value

A single numeric value with the computed probability density, log-probability density, cumulative distribution, log-cumulative distribution, or quantile depending on the function called.

Arguments

x

quantile

shape

shape parameter (default is 1)

scale

scale parameter (default is 1)

p

probability (0 <= p <= 1)

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Pareto distribution with shape = 1, scale = 1
pareto_pdf(1)
pareto_lpdf(1)
pareto_cdf(1)
pareto_lcdf(1)
pareto_quantile(0.5)