Uniform distribution (continuous) - © Rene Vapenik 2010

Uniform distribution (continuous)

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

**Formulas**
$X\sim Ro(a,b)$	$P(x)=\left\{\begin{matrix} 0 & ... & x<a \\ & & \\ \frac{1}{b-a} & ... & x\in \left \langle a,b \right \rangle\\ & & \\ 0 & ... & x> b\end{matrix}\right.$
$E(X)=\frac{a+b}{2}$	$D(X)=\frac{(b-a)^{2}}{12}$
$\gamma _{1}=0$	$\gamma _{2}=-\frac{6}{5}$

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

Cumulative distribution function

.

Probability mass function

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Contact © 2011 Author: Rene Vapenik www.elektro-energetika.eu