Let X Poisson(), Y Poisson(), independent It was shown in Theorem 4 3 2 that the distribution of X Y is Poisson( ) Show that the distribution of X X Y is binomial with success probability ( ) What is the distribution of Y X Y ...

We will find the conditional distribution of Y X Y The derivation of ...

Let X ~ Poisson(), Y ~ Poisson(), independent. It was shown in Theorem 4.3.2 that the distribution

Question:

Let X ~ Poisson(θ), Y ~ Poisson(λ), independent. It was shown in Theorem 4.3.2 that the of X + Y is Poisson(θ + λ). Show that the of X|X + Y is binomial with success probability θ/(θ + λ). What is the of Y|X + Y?
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...