a)Let X1,..., Xn|A be iid Poisson(), and let AGive 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 distributionand specify the parameters.

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Description: a)Let X1,..., Xn|A be iid Poisson(), and let AGive 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 post

Given information: The probability density function of the random variable X is as given below:

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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.

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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