There are X_{i}, i=1,2,...,n independent random variables with probability density functions f_{i}(x_{i};theta)= (2/i*theta)*(x_{i}/i*theta), for 0<x_{i}<i*theta and zero otherwise, i=1,2,...,n and theta>0

I need to show that T_{n}=max{X_{1}/1, X_{2}/2,...,X_{n}/n} is the maximum likelihood estimator of theta.

Can somebody give me some help on how I would go about showing this?

Thanks