Suppose y1,, yn are independent from a N(????,????) distribution, and ???? has a N(????0,????0) prior distribution. With
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Suppose y1,…, yn are independent from a N(????,????) distribution, and ???? has a N(????0,????0) prior distribution. With ???? known, derive the posterior distribution.
Explain how the posterior mean is a weighted average of the prior mean and the sample mean and the posterior precision is the sum of the prior precision and the data precision. Discuss their behavior as n increases.
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Related Book For 
Foundations Of Linear And Generalized Linear Models
ISBN: 9781118730034
1st Edition
Authors: Alan Agresti
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