2. In 1963, a statistician Haldane introduced an improper prior for a binomial probability of a success: πн(0) α 0¯¹(1 − 0)¯¹. Consider a random sample of size n from Binomial(1, 0). Find the posterior distribution of given data, and state under what conditions the posterior density function is proper.
2. In 1963, a statistician Haldane introduced an improper prior for a binomial probability of a success: πн(0) α 0¯¹(1 − 0)¯¹. Consider a random sample of size n from Binomial(1, 0). Find the posterior distribution of given data, and state under what conditions the posterior density function is proper.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Transcribed Image Text:2. In 1963, a statistician Haldane introduced an improper prior for a binomial probability
of a success:
πн(0) α 0¯¹(1 − 0)¯¹.
Consider a random sample of size n from Binomial(1, 0). Find the posterior distribution
of given data, and state under what conditions the posterior density function is
proper.
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