Hi there! I have managed to find out that indeed a transformation is needed into polar coordinates. Rotating the mean distance z with a θ angle and using the appropriate notation will results in proving that z is Ricianly distributed. Thanks guys for your help!
Thank you for your replies, but I am not looking to obtain a Rician distribution. I would like to know the distribution of z, in the given conditions, without making any transformations or other assumptions.
I would like to know the distribution of z as the euclidean distance between 2 points which are not centred in the origin. If I assume 2 points in the 2D plane A(Xa,Ya) and B(Xb,Yb), where the Xa~N(xa,s^2), Xb~N(xb,s^2), Ya~N(ya,s^2), Yb~N(yb,s^2), then the distance between A and B, would be...