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
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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.
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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