Question

3. We continue the topic of unemployment duration in small towns; we assume that in general it follows a T(k, A) distribution, where k is a fixed, known integer, and X > 0 is an unknown parameter. Our sample consists of observations X1, X2,..., Xn Researcher A constructs the Maximum Likelihood estimator for A. This estimator has the form XML X1 1, X2 2, X3 = 3, the estimate is equal to and if k 2 and the observations are АмL Researcher B constructs the Bayesian Most Probable Estimator, based on a prior distribution with density f(X) = 2e 2^ for A > 0. This estimator has the form АВMP X1 1, X2 2, X3 = 3, the estimate is equal to ÄBMP and if k 2 and the observations are

Answer 1

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