Negative Binomial Distribution Functions

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

Usage

negative_binomial_pdf(x, successes, success_fraction)

negative_binomial_lpdf(x, successes, success_fraction)

negative_binomial_cdf(x, successes, success_fraction)

negative_binomial_lcdf(x, successes, success_fraction)

negative_binomial_quantile(p, successes, success_fraction)

Arguments

x

quantile

successes

number of successes (successes >= 0)

success_fraction

probability of success on each trial (0 <= success_fraction <= 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

negative_binomial_pdf(3, 5, 0.5)
#> [1] 0.1367188
negative_binomial_lpdf(3, 5, 0.5)
#> [1] -1.989829
negative_binomial_cdf(3, 5, 0.5)
#> [1] 0.3632812
negative_binomial_lcdf(3, 5, 0.5)
#> [1] -1.012578
negative_binomial_quantile(0.5, 5, 0.5)
#> [1] 4