Noncentral Beta Distribution Functions

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

Usage

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

x

quantile (0 <= x <= 1)

alpha

first shape parameter (alpha > 0)

beta

second shape parameter (beta > 0)

lambda

noncentrality parameter (lambda >= 0)

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
non_central_beta_pdf(0.5, 2, 3, 1)
#> [1] 1.643543
non_central_beta_lpdf(0.5, 2, 3, 1)
#> [1] 0.4968546
non_central_beta_cdf(0.5, 2, 3, 1)
#> [1] 0.5977904
non_central_beta_lcdf(0.5, 2, 3, 1)
#> [1] -0.514515
non_central_beta_quantile(0.5, 2, 3, 1)
#> [1] 0.4416064