Does this posterior distribution still belong to the Gamma distribution family? If so, what are the parameters?
Does this posterior distribution still belong to the Gamma distribution family? If so, what are the parameters?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text:Does this posterior distribution still belong to the Gamma distribution family? If so, what
are the parameters?

Transcribed Image Text:Suppose we draw an i.i.d. sample X1, ...,X, from a Poisson(1) distribution, where l is a parameter
of unknown value. The pdf of the Poisson(1) distribution is
f(xi)
x;!
Suppose that 2 is treated as a random variable, and the prior distribution for 2 is Gamma, i.c.
1 ~ Gamma(a, B). The prior pdf for 2 is
π(λ)-
- ga-1e-ßA for 1 > 0.
Г(а)
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