Let X₁,..., Xn be iid Poisson(A), and let λ have a gamma(a, 3) distribution, the conjugate family for the Poisson. (a) Find the posterior distribution of A. (b) Calculate the posterior mean and variance.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter4: Writing Linear Equations
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Let X₁,..., Xn be iid Poisson(\), and let λ have a gamma(a, 3) distribution, the
conjugate family for the Poisson.
(a) Find the posterior distribution of A.
(b) Calculate the posterior mean and variance.
Transcribed Image Text:Let X₁,..., Xn be iid Poisson(\), and let λ have a gamma(a, 3) distribution, the conjugate family for the Poisson. (a) Find the posterior distribution of A. (b) Calculate the posterior mean and variance.
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