| Erlang {distributions3} | R Documentation |
Create an Erlang distribution
Description
The Erlang distribution is a two-parameter family of continuous probability
distributions with support x \in [0,\infty).
The two parameters are a positive integer shape parameter k and a
positive real rate parameter \lambda.
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 / \lambda each.
Usage
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
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))