Given 2 independent uniform random variables X,Y = U [0,1], consider the random variables Z = g (X,Y) for g (x,y) = sqrt (-2ln(x) ). cos(2piy)..This is the condition.So I need to go for matlab program as the analytic method is tough
1 - 10,000 uniformly distributed random samples for X and Y
2 - For each sample of X and Y, compute Z= g(X,Y)
3 - Draw a histogram over the resulting samples in Z
4 - Estimate the moments mZ for n = 1,2....6.