Holtsmark Distribution Functions

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

Usage

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

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

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

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

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

Arguments

x

quantile

location

location parameter (default is 0)

scale

scale parameter (default is 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

# Holtsmark distribution with location 0 and scale 1
holtsmark_pdf(3)
#> [1] 0.03150942
holtsmark_lpdf(3)
#> [1] -3.457469
holtsmark_cdf(3)
#> [1] 0.9484022
holtsmark_lcdf(3)
#> [1] -0.05297661
holtsmark_quantile(0.5)
#> [1] 0