Let (y) follow the negative binomial distribution (6.20). Show that (E(y)=mu) and (operatorname{Var}(y)=mu(1+alpha mu)), where (alpha) is
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Let \(y\) follow the negative binomial distribution (6.20). Show that \(E(y)=\mu\) and \(\operatorname{Var}(y)=\mu(1+\alpha \mu)\), where \(\alpha\) is the dispersion parameter for the negative binomial distribution.
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1/a T(k+1/a) == Pr(y kp, a) = k!I (1/a) (1 (6.20) 1 + 1 +
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Related Book For
Applied Categorical And Count Data Analysis
ISBN: 9780367568276
2nd Edition
Authors: Wan Tang, Hua He, Xin M. Tu
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