Let X1,..., X,|A be iid Poisson(A), and let A ~ Gamma(a, B), with a, B are known. Give two reasons why this is a good choice of the prior distribution on A. Let X1..... X.JA be iid Exponential(A), and let A~ Beta(a, 1), where a is known.
Let X1,..., X,|A be iid Poisson(A), and let A ~ Gamma(a, B), with a, B are known. Give two reasons why this is a good choice of the prior distribution on A. Let X1..... X.JA be iid Exponential(A), and let A~ Beta(a, 1), where a is known.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 34CR
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Transcribed Image Text:a)
Let X1,..., Xn|A be iid Poisson(), and let A
Give two reasons why this is a good choice of the prior distribution on A.
Gamma(a, B), with a, ß are known.
b)
Let X1,..., Xn|A be iid Exponential (A), and let A~ Beta(a, 1), where a is known.
Find the posterior distribution of X|X1 = r1,..., X, = xn: Identify it as a distribution
and specify the parameters.
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