lognormal_distribution: Log Normal Distribution Functions

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

Log Normal Distribution Functions

Description

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

Usage

lognormal_distribution(location = 0, scale = 1)

lognormal_pdf(x, location = 0, scale = 1)

lognormal_lpdf(x, location = 0, scale = 1)

lognormal_cdf(x, location = 0, scale = 1)

lognormal_lcdf(x, location = 0, scale = 1)

lognormal_quantile(p, location = 0, scale = 1)

Arguments

location	location parameter (default is 0)
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

# Log Normal distribution with location = 0, scale = 1
dist <- lognormal_distribution(0, 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
lognormal_pdf(0)
lognormal_lpdf(0)
lognormal_cdf(0)
lognormal_lcdf(0)
lognormal_quantile(0.5)

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