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    Sufficiency

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    7.2.6 Let X1, X2,...,Xn be a random sample of size n from a beta distribution with parameters alpha= θ and beta= 2. Show that the product X1,X2...Xn is a sufficient statistic for θ.

    Use Neyman's Factorization Theorem.

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    https://brainmass.com/statistics/statistical-theory/sufficiency-36018

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