This is my first post in the group and I would be very thankful for any help. I am trying to develop a probability distribution for a performance analysis in my thesis. I am trying to look in to literature which provides the probability distribution for distance between two random points in a unit circle.
I would try to explain the problem. Suppose we have a point X and we have point x1 in the unit circle C1 which contains X. There is another unit circle X2 right next to the circle X1. There is a point x2 in the unit circle X2. Let d1 be the distance between X and x1 and d2 be the distance between X and x2. All the points are distributed within respective circles with random distribution. I want to know the probability distribution for d1/d2. Has anyone worked with a similar problem or anybody can direct me towards any literature.
Thank you so much for the help. Cheers, Waqas