# Erlang: Create an Erlang distribution In distributions3: Probability Distributions as S3 Objects

## Description

The Erlang distribution is a two-parameter family of continuous probability distributions with support x \in [0,∞). The two parameters are a positive integer shape parameter k and a positive real rate parameter λ. The Erlang distribution with shape parameter k = 1 simplifies to the exponential distribution, and it is a special case of the gamma distribution. It corresponds to a sum of k independent exponential variables with mean 1 / λ each.

## Usage

 1 Erlang(k, lambda) 

## Arguments

 k The shape parameter. Can be any positive integer number. lambda The rate parameter. Can be any positive number.

## Value

An Erlang object.

## See Also

Other continuous distributions: Beta(), Cauchy(), ChiSquare(), Exponential(), FisherF(), Frechet(), GEV(), GP(), Gamma(), Gumbel(), LogNormal(), Logistic(), Normal(), RevWeibull(), StudentsT(), Tukey(), Uniform(), Weibull()

## Examples

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 set.seed(27) X <- Erlang(5, 2) X random(X, 10) pdf(X, 2) log_pdf(X, 2) cdf(X, 4) quantile(X, 0.7) cdf(X, quantile(X, 0.7)) quantile(X, cdf(X, 7)) 

distributions3 documentation built on Jan. 4, 2022, 1:07 a.m.