non_central_beta_distribution: Noncentral Beta Distribution Functions

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

Noncentral Beta Distribution Functions

Description

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

Usage

non_central_beta_distribution(alpha, beta, lambda)

non_central_beta_pdf(x, alpha, beta, lambda)

non_central_beta_lpdf(x, alpha, beta, lambda)

non_central_beta_cdf(x, alpha, beta, lambda)

non_central_beta_lcdf(x, alpha, beta, lambda)

non_central_beta_quantile(p, alpha, beta, lambda)

Arguments

alpha	first shape parameter (alpha > 0)
beta	second shape parameter (beta > 0)
lambda	noncentrality parameter (lambda >= 0)
x	quantile (0 <= x <= 1)
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

# Noncentral Beta distribution with shape parameters alpha = 2, beta = 3
# and noncentrality parameter lambda = 1
dist <- non_central_beta_distribution(2, 3, 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)

# Convenience functions
non_central_beta_pdf(0.5, 2, 3, 1)
non_central_beta_lpdf(0.5, 2, 3, 1)
non_central_beta_cdf(0.5, 2, 3, 1)
non_central_beta_lcdf(0.5, 2, 3, 1)
non_central_beta_quantile(0.5, 2, 3, 1)

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