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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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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?
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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