Assuming that all 3n random variables are independent with


Suppose that X1, · · · .Xn are normal with mean µ1; Y1, · · · , Yn are normal with mean µ2, and W1, · · · , Wn are normal with mean µ1 + µ2. Assuming that all 3n random variables are independent with a common variance, find the maximum likelihood estimators of µ1 and µ2.

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Basic Statistics: Assuming that all 3n random variables are independent with
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