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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Basic Statistics: Let x be a random variable having the negative binomial
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