Uniforme Contínua (transformada inversa)

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Función de densidad de probabilidad

(1)
\begin{align} \[f(x)=\left\{\begin{matrix} \frac{1}{max-min} & \text{para}\ min\leq x\leq max\\ \\ 0 & \ \ \ \ \ \text{para}\ x< min\vee x> max \end{matrix}\right.\] \end{align}

Función de probabilidad acumulada

(2)
\begin{align} \[\int f(x)dx=F(x)=\left\{\begin{matrix} 0 & \text{para}\ x< min\\ \\ \frac{x-min}{max-min} & \ \ \ \ \ \ \ \ \ \ \text{para}\ min\leq x< max\\ \\ 1 & \ \text{para}\ x\geq max \end{matrix}\right.\] \end{align}

Transformación

(3)
\begin{align} \[\begin{align*} \frac{X-min}{max-min} &=U \\ \\ X &=U(max-min)+min \end{align*}\] \end{align}

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