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(Solved): Let x be uniformly distributed on 0,\theta , where \theta in(0,\infty ) is an unknown parameter.Gi ...
Let
xbe uniformly distributed on
0,\theta , where
\theta in(0,\infty )is an unknown parameter.Given an i.i.d. sample
x_(1),dots,x_(n), construct two unbiased estimator based on (i)
\sum_i^n x_(i)and (ii)
max_(i)x_(i). Which one is a better estimator? Justify your answer.
