weibull_distribution: Weibull Distribution Functions

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

Weibull Distribution Functions

Description

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

Usage

weibull_distribution(shape, scale = 1)

weibull_pdf(x, shape, scale = 1)

weibull_lpdf(x, shape, scale = 1)

weibull_cdf(x, shape, scale = 1)

weibull_lcdf(x, shape, scale = 1)

weibull_quantile(p, shape, scale = 1)

Arguments

shape	shape parameter
scale	scale 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

# Weibull distribution with shape = 1, scale = 1
dist <- weibull_distribution(1, 1)
# 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
weibull_pdf(1, shape = 1, scale = 1)
weibull_lpdf(1, shape = 1, scale = 1)
weibull_cdf(1, shape = 1, scale = 1)
weibull_lcdf(1, shape = 1, scale = 1)
weibull_quantile(0.5, shape = 1, scale = 1)

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