Hi I 'm not getting the answer to the seemingly easly problem.It appears easy, can someone show the calculation steps Q) Given a random sample of size n from a gamma(alpha,beta) distribution with the known parameter appha, find the MLE for Beta Answer is x(bar)/alpha
Make sure you use the correct form of the density function and just do the usual steps: (1) Find the likelihood function: ie the product of the densities for x1, .... xn. (Gather together terms and replace constants with C.) You should get C* exp{-(sum of xi/beta)}/beta^n*alpha. (2) Log the likelihood. (3) Differentiate wrt beta. (4) Set equal to zero.
