Let Y1. Y21..., Y, denote a random sample of size n from a power family distribution. Yon) = max(Y1, Y24 ....Y has the d
Posted: Mon Apr 11, 2022 6:22 am
Let Y1. Y21..., Y, denote a random sample of size n from a power family distribution. Yon) = max(Y1, Y24 ....Y has the distribution function given by y co Fr;() = osyse, , »-{e". 1, y > B. Use the method of evaluating P(lên, – 01 5 €) directly, and then showing that lim pciên, - 01 5 8) = 1, to show that Yon) is a consistent estimator of 8. P(Ym) - 85 ) = ple- & syns Ho-e = Fine + 8) - FR „). 0 + 8 0-8 = 1 X Alim (Puiyin -015. | 5€)) lim n00 X = 1 for E > 0