15. Let X₁,..., Xn be a random sample from the distribution f(x | 0) = for parameter > 0. We are interested in estimating both and = 1/0. (a) Verify that T = - Σï=1 log(1 + X₂) is a sufficient statistic and find its distribution. (b) Find an unbiased estimator for both 0 and based on T. (c) Determine which (if either) of the estimators are efficient and/or UMVUES. 0 (1+x)¹+0 x > 0,

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