Assume y binomial (0, n = = 10). Suppose that y = 1 was observed. Consider the following priors for 0: (i) U(0, 1); (ii) Beta(1,5); and (iii) Beta(10, 10). Are these priors conjugate? What are the corresponding posteriors? (no need to provide detail derivations)
Assume y binomial (0, n = = 10). Suppose that y = 1 was observed. Consider the following priors for 0: (i) U(0, 1); (ii) Beta(1,5); and (iii) Beta(10, 10). Are these priors conjugate? What are the corresponding posteriors? (no need to provide detail derivations)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Problem 2: Answer the following short questions and provide a brief justification for
each question.
(a) Assume y~ binomial (0, n = 10). Suppose that y = 1 was observed. Consider
the following priors for 0: (i) U(0,1); (ii) Beta(1,5); and (iii) Beta(10, 10).
Are these priors conjugate?
(b) What are the corresponding posteriors? (no need to provide detail derivations)
(c) Which prior is the most informative and which prior is the least informative?
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