boostmath (version 1.0.0)

geometric_distribution: Geometric Distribution Functions

Description

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

Usage

geometric_pdf(x, prob)
geometric_lpdf(x, prob)
geometric_cdf(x, prob)
geometric_lcdf(x, prob)
geometric_quantile(p, prob)

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.

Arguments

x

quantile (non-negative integer)

prob

probability of success (0 < prob < 1)

p

probability (0 <= p <= 1)

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Geometric distribution with probability of success prob = 0.5
geometric_pdf(3, 0.5)
geometric_lpdf(3, 0.5)
geometric_cdf(3, 0.5)
geometric_lcdf(3, 0.5)
geometric_quantile(0.5, 0.5)