boostmath (version 1.0.0)

laplace_distribution: Laplace Distribution Functions

Description

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

Usage

laplace_pdf(x, location = 0, scale = 1)
laplace_lpdf(x, location = 0, scale = 1)
laplace_cdf(x, location = 0, scale = 1)
laplace_lcdf(x, location = 0, scale = 1)
laplace_quantile(p, location = 0, 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

location

location parameter (default is 0)

scale

scale parameter (default is 1)

p

probability (0 <= p <= 1)

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Laplace distribution with location = 0, scale = 1
laplace_pdf(0)
laplace_lpdf(0)
laplace_cdf(0)
laplace_lcdf(0)
laplace_quantile(0.5)