Dear all,

I've a problem regarding Rayleigh pdf.

In particular, I know the ratio between two part of the probability density function, at the right and at the left of a given threshold point , so

and from the former I need to compute the value of the parameter of the Rayleigh distribution .

I've made the first steps, reducing the former in

and solving the definite integral, obtaining

However, is now possible to solve the last equation in ? otherwise, is there any other method to compute (or, at least, estimate) the value of from the first equation?

Thank you in advance for any suggestion!

Simo