Let x be a random variable having the negative binomial
Let X be a random variable having the negative binomial distribution NB(p, r) with an unknown p ∈ (0, 1) and a known r.
(a) Find the UMVUE of pt, t < r.="">
(b) Find the UMVUE of Var(X).
(c) Find the UMVUE of log p.
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