Let Y₁, Y2, ..., Yn denote a random sample from the probability density function (0+1)yº, 0 < y < 1; 0 > −1, f(y|0) elsewhere. Find an estimator for by the method of moments. Show that the estimator is consistent. Is the estimator a function of the sufficient statistic - Σ In (Y;) that we can obtain from the factorization criterion? What implications does this have? ={8.- 0,

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