Conditional on , Y has a Poisson distribution with mean Values of vary according to gamma destiny, which has E() , var() 2 k Show that marginally Y has the negative binomial distribution Explain why the negative binomial model is a way to handle overdispersion for the Poisson ...

The marginal distribution of Y is the sum of the conditional distributions o ...

Conditional on , Y has a Poisson distribution with mean . Values of vary according to

Question:

Conditional on λ, Y has a Poisson distribution with mean λ. Values of λ vary according to gamma destiny, which has E(λ) = µ, var(λ) = µ²/k. Show that marginally Y has the negative binomial distribution. Explain why the negative binomial model is a way to handle overdispersion for the Poisson.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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