Difference between r1.1 and the current
@@ -1,10 +1,12 @@
'''Rayleigh Random Variable'''
$S_X=[0,\infty)$
$f_X(x)=\frac{x}{\alpha^2}e^{-x^2/2\alpha^2}$
$E[X]=\sqrt{\frac{\pi}{2}}\alpha$
$V[X]=\left(2-\frac{\pi}{2}\right)\alpha^2$
----
$S_X=[0,\infty)$
$x\ge0,\,\alpha>0$
$x\ge0,\,\alpha\gt 0$
$E[X]=\sqrt{\frac{\pi}{2}}\alpha$
----
Rayleigh Random Variable
$\displaystyle S_X=[0,\infty)$
$\displaystyle f_X(x)=\frac{x}{\alpha^2}e^{-x^2/2\alpha^2}$
$\displaystyle x\ge0,\,\alpha\gt 0$
$\displaystyle E[X]=\sqrt{\frac{\pi}{2}}\alpha$$\displaystyle V[X]=\left(2-\frac{\pi}{2}\right)\alpha^2$