Mathematics · Mathematical Statistics
Let X have a binomial distribution with parameters n and p. Suppose that n is given and the unknown parameter p has a prior distribution which is uniform on the interval [0, 1]. Under the squared error loss function and given the observation X = n, which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The Bayes estimate of p is n + 1 n + 2✓
- 2The Bayes estimate of p is 2 -1/(n+1)
- 3The median of the posterior distribution of p is 2 -1/(n+1)
- 4The median of the posterior distribution of p is n + 1 n + 2
Correct answer
The Bayes estimate of p is n + 1 n + 2
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