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Question: 3. Suppose X, X,, ,X are iid observations from a Ber (p) iiã listribution. Take your loss functio…



Question: 3. Suppose X, X,, ,X are iid observations from a Ber (p) iiã listribution. Take your loss functio...

Show transcribed image text 3. Suppose X, X,, ,X are iid observations from a Ber (p) iiã listribution. Take your loss function as Squared Brror and take as your prior distribution the U [0,1] distribution. Find the Bayes risk of X/n . o. Find the Bayes risk of (x 1)/ (n+2). Which estimate of these two has a smaller Bayes risk ?

3. Suppose X, X,, ,X are iid observations from a Ber (p) iiã listribution. Take your loss function as Squared Brror and take as your prior distribution the U [0,1] distribution. Find the Bayes risk of X/n . o. Find the Bayes risk of (x 1)/ (n+2). Which estimate of these two has a smaller Bayes risk ?

  

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