In Section 3 2 it was claimed that the Poisson(A) distribution is the limit of the negative binomial(r, p) distribution as r , p 1, and r(l p) Show that under these conditions the mgf of the negative binomial converges to that of the Poisson ...

The moment generating function for the negati ...

In Section 3.2 it was claimed that the Poisson(A) distribution is the limit of the negative binomial(r,

Question:

In Section 3.2 it was claimed that the Poisson(A) is the limit of the negative binomial(r, p) as r → ∞, p → 1, and r(l - p) → λ. Show that under these conditions the mgf of the negative binomial converges to that of 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...