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Obtain the UMVU estimator One way to get a UMVU estimator is to use a complete and sufficient statis- tic. (a) State what we mean

Obtain the UMVU estimator

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One way to get a UMVU estimator is to use a complete and sufficient statis- tic. (a) State what we mean by 'UMVU', 'complete', and 'sufficient', respec- tively. (b) Prove the statement that "a statistic T is complete if and only if there exists a unique function of 7 that is unbiased". (c) Let X,, i = 1, ...,n, be i.i.d. U(0, 0) and obtain a UMVU estimator

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