Suppose that a random sample of sizen is taken from a Poisson distribution for which the value of the mean e is unknown, and the prior distribution of e is a gamma distribution for which the mean is Pg. Show that the mean of the posterior distribution of e will be a weighted average having the form YnX,+ (1 – Yn)Ho, and show that yn - 1 as n→ *.

Suppose that a random sample of sizen is taken from a Poisson distribution for which the value of the mean e is unknown, and the prior distribution of e is a gamma distribution for which the mean is Pg. Show that the mean of the posterior distribution of e will be a weighted average having the form YnX,+ (1 – Yn)Ho, and show that yn - 1 as n→ *.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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