Assume now that the prior distribution of is a continuous distribution with the probability density function fe (0) = 5, 0, 0.6 ≤0 ≤ 0.8, otherwise. Also assume now that the sample size is n = = 1 and the observed value is x₁ = = 0.7. Find the posterior distribution of 0. Compute the Bayes estimate of under the squared loss and absolute loss functions and construct the two-sided 90% poste- rior probability interval for 0.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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D5)
Assume now that the prior distribution of is a continuous distribution with the
probability density function
fo(0)
5, 0.6 ≤0 ≤ 0.8,
0, otherwise.
Also assume now that the sample size is n = 1 and the observed value is x₁ = = 0.7.
Find the posterior distribution of 0. Compute the Bayes estimate of under the
squared loss and absolute loss functions and construct the two-sided 90% poste-
rior probability interval for 0.
Transcribed Image Text:Assume now that the prior distribution of is a continuous distribution with the probability density function fo(0) 5, 0.6 ≤0 ≤ 0.8, 0, otherwise. Also assume now that the sample size is n = 1 and the observed value is x₁ = = 0.7. Find the posterior distribution of 0. Compute the Bayes estimate of under the squared loss and absolute loss functions and construct the two-sided 90% poste- rior probability interval for 0.
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