pareto_distribution: Pareto Distribution Functions

In boostmath: 'R' Bindings for the 'Boost' Math Functions

Pareto Distribution Functions

Description

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

Usage

pareto_distribution(scale = 1, shape = 1)

pareto_pdf(x, scale = 1, shape = 1)

pareto_lpdf(x, scale = 1, shape = 1)

pareto_cdf(x, scale = 1, shape = 1)

pareto_lcdf(x, scale = 1, shape = 1)

pareto_quantile(p, scale = 1, shape = 1)

Arguments

scale	scale parameter (default is 1)
shape	shape parameter (default is 1)
x	quantile
p	probability (0 <= p <= 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.

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Pareto distribution with scale = 10, shape = 5
dist <- pareto_distribution(10, 5)
# Apply generic functions
cdf(dist, 0.5)
logcdf(dist, 0.5)
pdf(dist, 0.5)
logpdf(dist, 0.5)
hazard(dist, 0.5)
chf(dist, 0.5)
mean(dist)
median(dist)
mode(dist)
range(dist)
quantile(dist, 0.2)
standard_deviation(dist)
support(dist)
variance(dist)
skewness(dist)
kurtosis(dist)
kurtosis_excess(dist)

# Convenience functions
pareto_pdf(1)
pareto_lpdf(1)
pareto_cdf(1)
pareto_lcdf(1)
pareto_quantile(0.5)

boostmath documentation built on Dec. 15, 2025, 5:07 p.m.