Poisson Distribution Functions

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

Usage

poisson_pdf(x, lambda = 1)

poisson_lpdf(x, lambda = 1)

poisson_cdf(x, lambda = 1)

poisson_lcdf(x, lambda = 1)

poisson_quantile(p, lambda = 1)

Arguments

x

quantile

lambda

rate 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

# Poisson distribution with lambda = 1
poisson_pdf(0, 1)
#> [1] 0.3678794
poisson_lpdf(0, 1)
#> [1] -1
poisson_cdf(0, 1)
#> [1] 0.3678794
poisson_lcdf(0, 1)
#> [1] -1
poisson_quantile(0.5, 1)
#> [1] 1