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    Unbiased estimators

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    Can someone please help solve and understand this problem. The answer to the question are (a) All Values; (b) alpha = m/(m+4n). See attached file for full problem description.

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    Solution Preview

    Please see the attached file for details.

    (a) Note that and are unbiased estimators of . Namely, . Hence,
    Hence, for any values of m, n and , is an unbiased estimators of .

    (b) Let us ...

    Solution Summary

    This question shows how to determine values for unbiased estimators.