Erlang :: SAS(R) Simulation Studio 12.3: User's Guide

Erlang

The Erlang distribution is a special case of the gamma distribution. The density function of the Erlang distribution is

$f(x) = \frac{1}{(k - 1)!}\lambda ^{-k}x^{k - 1}e^{-\frac{x}{\lambda }}$

where $x \ge 0$ .

Parameters:

$\lambda$	is a real number > 0.
	is an integer $\ge$ 1.

If $X_1, X_2, \dots , X_ k$ are independent exponential random variables with mean $\lambda$ , then $X_1 + X_2 + \dots + X_ k$ has the -Erlang distribution.

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