Originally Posted by

**Volga** I am going through an example where one needs to find score and information for a random sample of size n from the logistic distribution with a density function

$\displaystyle f_Y(y;\mu)=\frac{e^{y-\mu}}{[1+e^{(e-\mu)}]^2}$

and the score is $\displaystyle s_Y(Y;\mu)=\Sigma_{i=1}^n(-1+2F_Y(y_i;\mu))$

then the explanation goes, 'by recognising that $\displaystyle F_Y(Y;\mu)\sim Unif[0;1]$ we can calculate information... and they use the formula for Var of a Uniform distribution.

Can someone help me to see that $\displaystyle F_Y(Y;\mu)\sim Unif[0;1]$?