(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A discrete random variable Y has probability distribution given by

f(y;β) = (ky^{2}β^{(y+k)})/((β+3)^{(y+2k)}(y+1)^{1/2})

2. Relevant equations

I know that for a pdf to be from generalised exponential family of distribution it can expressed as

f(y) = exp{(yθ-bθ)/a∅ +c(y,∅)}

3. The attempt at a solution

From exp{log(f(y;β))} i got -----> exp[(y+k)log(βy)-(y+2k)log(β+3)+log ky - (1/2)log(y+1)]

Is this sufficient or does it require further work?

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# Homework Help: Generalized exponential family of distributions

Can you offer guidance or do you also need help?

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