4. Suppose that X1, X2, ..., X, are independently and identically distributed with probability density function given by
Posted: Wed May 11, 2022 5:13 pm
4. Suppose that X1, X2, ..., X, are independently and identically distributed with probability density function given by f(a) = (a +9) ott, a>0, o>0. 01 . 1 +1 If the maximum likelihood estimator (MLE) of a is given by 2 In II (1 + 2;) and assuming that n is large, create an approximate 95% confidence interval for a. You may assume that the MLE achieves the CRLB. In other words, the NLE is a minimum variance unbiased estimator for a.