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    Poisson distribution and MVUE.

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    1. Let -- be a random sample from the Poisson distribution with pmf --. Find the MVUE of --- using the following three steps.
    a) Find the complete sufficient statistic Y_1 for --.
    b) Show that -- is an unbiased estimator of -- where I is the indicator function.
    c) Find the MVUE of -- by the conditional expectation e(T/Y_1).

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    Solution Summary

    The solution illustrates the computation of Minimum Variance Unbiased Estimator for a given distribution. Response includes a Word and Excel attachment.