Cauchy distribution - © Rene Vapenik 2013

Cauchy distribution

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

**Formulas**
$P(x)=\frac{1}{\pi\lambda \left[1 + \left(\frac{x-a}{\lambda}\right)^2\right]} = { 1 \over \pi } \left[ {\lambda \over (x - a)^2 + \lambda^2 } \right]$
$E(X)=undefined$	$D(X)=undefined$
$\gamma _{1}=undefined$	$\gamma _{2}=undefined$

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

Cumulative distribution function

.

Probability mass function

.

External links

Česky

English

Русский

Espanol

Francais

Deutsch

Portugues

Polski

Nederlands

Italien

Romana

Magyar

Svenska

العربية

Türkçe

日本語

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