Uniform Distribution#

Standard form $x\in\left[0,1\right].$ In general form, the lower limit is $L,$ the upper limit is $S+L.$

\begin{array}{rcl} f (x) & = & 1 \\ F (x) & = & x \\ G (q) & = & q \end{array}

$\begin{eqnarray*} f\left(x\right) & = & 1\\ F\left(x\right) & = & x\\ G\left(q\right) & = & q\end{eqnarray*}$

\begin{array}{rcl} μ & = & \frac{1}{2} \\ μ_{2} & = & \frac{1}{12} \\ γ_{1} & = & 0 \\ γ_{2} & = & - \frac{6}{5} \end{array}

$\begin{eqnarray*} \mu & = & \frac{1}{2}\\ \mu_{2} & = & \frac{1}{12}\\ \gamma_{1} & = & 0\\ \gamma_{2} & = & -\frac{6}{5}\end{eqnarray*}$

h [X] = 0

$h\left[X\right]=0$