Answer Happy

Problem 2A (9 points). You collected a random sample of 10 observations that you believe orig- inate from a distribution with the following probability density function: Sabay-(a+1) Y2B f(y|a,B) otherwise = where parameters a > 0 and B > 0. Your data set is as follows: 1.61 1.60 1.57 2.38 1.68 1.65 2.71 1.67 1.53 2.00 a) (1 point) Suppose you perform empirical bootstrap on this data. How many bootstrap resam- ples are possible? b) (6 points) Suppose you know that a = 6.5. Find the method of moment estimator for B and compute the point estimate from the data. Your work should show clearly how you arrive at the final expression for your estimator. Is @Mom unbiased?