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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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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