Erlang distribution - © Rene Vapenik 2013

Erlang distribution

ATTENTION - instead of a decimal comma should be used decimal DOT !

**Formulas**
$P(x)=\left\{\begin{matrix} \frac{\lambda ^{k}x^{k-1}e^{\lambda (-x)}}{\Gamma (k)} & ... & x> 0\\ & & \\ 0 & ... & x\leq 0\end{matrix}\right.$
$E(X)=\frac{k}{\lambda }$	$D(X)=\frac{k}{\lambda^{2} }$
$\gamma _{1}=\frac{2}{\sqrt{k}}$	$\gamma _{2}=\frac{6}{k}+3$

**Characteristics of the distribution**
Mean	E(X)=
Variance	D(X)=
Skewness	γ₁=
Ex.kurtosis	γ₂=

Cumulative distribution function

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Probability mass function

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Contact © 2013 Author: Rene Vapenik www.elektro-energetika.eu