This exercise derives the normalization constant of Beta(a, 3) in the case of integer parameters = 8+1,8=n-s+1 by exploring the connection between • Bayesian inference for a Bernoulli parameter using uniform prior, and • Order statistics of a uniform RV. Let p [0, 1] be the parameter of a Bernoulli (p) distribution (e.g. the probability of Heads for a coin). Suppose we have no prior information about p. In the Bayesian approach, we model our ignorance by considering the parameter p as a uniformly distributed random variable

This exercise derives the normalization constant of Beta(a, 3) in the case of integer parameters = 8+1,8=n-s+1 by exploring the connection between • Bayesian inference for a Bernoulli parameter using uniform prior, and • Order statistics of a uniform RV. Let p [0, 1] be the parameter of a Bernoulli (p) distribution (e.g. the probability of Heads for a coin). Suppose we have no prior information about p. In the Bayesian approach, we model our ignorance by considering the parameter p as a uniformly distributed random variable

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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