Given a random sample of size n from a Gamma beta alpha find

Given a random sample of size n from a Gamma( beta. alpha. find the maximum likelihood estimator for alpha ,beta) population with known parameter

Solution

MLE can be obtained by calculating derivative of likelihood function of Gamma (alpha,beta).

Refer below link for more details :

http://www2.econ.iastate.edu/classes/econ671/hallam/documents/Basic_stat_000.pdf