Suppose that X1, , Xn form a random sample from the Bernoulli distribution with parameter p, which is unknown, and that the prior distribution of p is a certain specified beta distribution Is the Bayes estimator of p with respect to the squared error loss function a minimal sufficient statistic

Question: Suppose that X1, . . . , Xn form a random sample from the Bernoulli distribution with parameter p, which is unknown, and that the

Suppose that X1, . . . , Xn form a random sample from the Bernoulli with parameter p, which is unknown, and that the prior of p is a certain specified beta Is the Bayes estimator of p with respect to the squared error loss function a minimal sufficient statistic?

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