For the continuous distribution of the interval 0 to a, we have two unbiased estimators for a:

Question:

For the continuous of the interval 0 to a, we have two unbiased estimators for a: the moment estimator a1 = 2X and a2 = [(n + 1/n] max (Xi), where max (Xi) is the largest observation in a random sample of size n (see Exercise 7-26). It can be shown that V(a1) = a2/(3n) and that V(a1) =a2/[n)n+2)]. Show that if n > 1, a2 is a better estimator than. In what sense is it a better estimator of a?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...