I really appreciate if somebody can help me to answer this question;
A sample of size n is drawn from each of two normal populations, both of which have variance 2. The mean of the two populations are (a+b) and (a-b), respectively, where a,b>0. The sample observations are denoted xij, i=1,2 and j=1,...,n. The question is " What are the maximum likelihood estimators of a,b, 2?
Thanks in advance.