Let X1, X2, , Xn be Poisson random variables with parameter Assume that has a Gamma (a, b) prior (a) Compute the posterior distribution of (b) Obtain the Bayes estimate of (c) Compare the MLE of with the Bayes estimate of (d) Which of the two estimates is better Why ...

a Given that and X 1 X n Poisson we have and Hence goes into the proportionalit ...

Let X1, X2, . . ., Xn be Poisson random variables with parameter . Assume that

Question:

Let X1, X2, . . ., Xn be Poisson random variables with parameter λ. Assume that λ has a Gamma (a, b) prior.
(a) Compute the posterior of λ.
(b) Obtain the Bayes estimate of λ.
(c) Compare the MLE of λ with the Bayes estimate of λ.
(d) Which of the two estimates is better? Why? 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...