Arcsine Distribution Functions

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

Usage

arcsine_pdf(x, x_min = 0, x_max = 1)

arcsine_lpdf(x, x_min = 0, x_max = 1)

arcsine_cdf(x, x_min = 0, x_max = 1)

arcsine_lcdf(x, x_min = 0, x_max = 1)

arcsine_quantile(p, x_min = 0, x_max = 1)

Arguments

x

quantile

x_min

minimum value of the distribution (default is 0)

x_max

maximum value of the distribution (default is 1)

p

probability

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

arcsine_pdf(0.5)
#> [1] 0.6366198
arcsine_lpdf(0.5)
#> [1] -0.4515827
arcsine_cdf(0.5)
#> [1] 0.5
arcsine_lcdf(0.5)
#> [1] -0.6931472
arcsine_quantile(0.5)
#> [1] 0.5