Question: (a) For known k, show that the negative binomial distribution given below has natural exponential family form with natural parameter log[/( + k)], f(y; k,

(a) For known k, show that the negative binomial distribution given below has natural exponential family form with natural parameter log[/( + k)], f(y; k, ) = (y + k) (k)(y + 1) k + k k 1 k + k y , y = 0, 1, 2

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