This question is all connected.

For all questions below, assume that X1, X 2, ,Xn is a random sample from the GAM (at, 1) distribution. For each question, please write your answer in words, not in mathematical equations when possible. 1) Suppose that you calculate both the Method of Moments (MoM) and Maximum Likelihood estimators (MLE) for the unknown parameter a and that they are different. List three different metrics that we can use to compare these two estimators to determine which one is \"best.\" 2) Suppose we find that both the MoM and MLE are unbiased. In layman's terms, what does that mean? 3) Suppose that the CramerRao lower bound (CRLB) for a is 20!. What does this say about the variance of the MoM and MLE? 4) We go further and nd that the MLE is an UMVUE. a. First, what in layman's terms does this mean? b. Second, what is the variance of the MLE? 5) Suppose that we find that the relative efciency of the MoM to the MLE is (n-l) / 11. Based on this, for large samples (i.e., when n is very large), what can we say about the mean squared error of the MoM as to how it relates to MSE of the MLE