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Let X1, ..., Xn be i.i.d. having the log-distribution L(p) with an unknown p ∈ (0, 1). Let k be a fixed positive integer.
(a) For n = 1, 2, 3, find the UMVUE of pk.
(b) For n = 1, 2, 3, find the UMVUE of P(X = k).
Statistics and Probability, Statistics
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