May I know how to prove that the posterior distribution also follows Gamma distribution and so, what's the parameter? Thank you. Question 7The Gamma distribution Gamma(a, B) is given by-BAfa(^; a, B)T(x)where a and ß are parameters of the distribution, and r(-) is the Gamma function (see Lecture 1 if youdon't remember what this function is), with derivative denoted by T'(-).Show that it is a conjugate prior of Poisson (A), i.e., when the observations X; for 1

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Answered: fa(^; a, ß) = r(x) where a and ß are…

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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fa(^; a, ß) = r(x) where a and ß are parameters of the distribution, and r(·) is the Gamma function (see Lecture 1 if don't remember what this function is), with derivative denoted by r'(-). Show that it is a conjugate prior of Poisson (A), i.e., when the observations X; for 1