Question: Suppose that Y, Y2, , Yn constitute a random sample from the density function y 0, elsewhere, f(y|0) = { 0, 2 where is

Suppose that Y, Y2, , Yn constitute a random sample from the density function y 0, elsewhere, f(y|0) = { 0,

Suppose that Y, Y2, , Yn constitute a random sample from the density function y 0, elsewhere, f(y|0) = { 0, 2 where is an unknown, positive constant. (a) Find an estimator for by the method of moments. (b) Find an estimator for 0 by the method of maximum likelihood. (c) Adjust and 2 so that they are unbiased. Find the efficiency of the adjusted relative to the adjusted 82.

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