Consider the parametric family with pdf f(X, 6 ) = 6X5/ 06 for 0 > 0 and 0

Consider the parametric family with pdf f(x, 0 ) = 6x5/ 06 for 0 > 0 and 0 < x < 0. a. b. c. Is the family "very regular" ? Justify your answer. Obtain the MLE for 0, call it Tn and Show your MLE is biased for 0, but then show how to correct for the bias. Call your new unbiased estimator Yn . Obtain the asymptotic distribution ofn( 0 - Tn).