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    Suppose X1,...Xn are independently and identically distributed Posiion (lamda)random variables. Let LAMDA denot the MLE of lamda and LAMDA(b)=X1
    (a) Show that both LAMDA and LAMDA(b) are unbiased
    (b) Calculate the variances of LAMDA and LAMDA(b)
    (c) Are these estimators consistent? which is the better estimator?

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    Solution Summary

    The solution shows that both LAMDA and LAMDA(b) are unbiased. It also calculates the variances of LAMDA and LAMDA(b).