non_central_t_distribution: Noncentral T Distribution Functions

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

Noncentral T Distribution Functions

Description

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

Usage

non_central_t_distribution(df, delta)

non_central_t_pdf(x, df, delta)

non_central_t_lpdf(x, df, delta)

non_central_t_cdf(x, df, delta)

non_central_t_lcdf(x, df, delta)

non_central_t_quantile(p, df, delta)

Arguments

df	degrees of freedom (df > 0)
delta	noncentrality parameter (delta >= 0)
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

# Noncentral T distribution with 5 degrees of freedom and noncentrality parameter 1
dist <- non_central_t_distribution(5, 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
non_central_t_pdf(0, 5, 1)
non_central_t_lpdf(0, 5, 1)
non_central_t_cdf(0, 5, 1)
non_central_t_lcdf(0, 5, 1)
non_central_t_quantile(0.5, 5, 1)

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