When I try to exploit this Rayleigh distribution Mathematica couldn't answer.
PDF[TransformedDistribution[
Sqrt[x1^2 + x2^2], {x1 \[Distributed]
NormalDistribution[μ1, σ],
x2 \[Distributed] NormalDistribution[μ2, σ]},
Assumptions -> μ1 == μ2 == 0], r]
I Wanna Drive the Distribution of Rayleigh in parametric form Mathematica could Solve this for N~[0,1] and the answer is Rayleigh[1] but for N~[0,k] has no Answer!!!