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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{eqnarray*} f\left(x\right) & = & 1\\ F\left(x\right) & = & x\\ G\left(q\right) & = & q\end{eqnarray*}
\begin{eqnarray*} \mu & = & \frac{1}{2}\\ \mu_{2} & = & \frac{1}{12}\\ \gamma_{1} & = & 0\\ \gamma_{2} & = & -\frac{6}{5}\end{eqnarray*}
\[h\left[X\right]=0\]
Implementation: scipy.stats.uniform