Question

1. Let Xi...., X, be a random sample from a distribution with pdf f(x;0) = 030-11(0 < x < 1), where 0 > 0. Find the maximum likelihood estimator of u = 8/1 b) Find a sufficient statistic and check completeness. (c) Find the UMVUE(uniformly minimum variance unbiased estimator of each of the following : 0,1/0,4 = 0/(1+0).

Answer 1

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(page 4) Now for uz do Elutoon 2 190) to, 20 g so g(t) = 0² Elogy SUMUUE force (Hoon
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