Question: Suppose that a random variable X has the geometric distribution with unknown parameter p (0 < p < 1). Show that the only unbiased estimator

Suppose that a random variable X has the geometric with unknown parameter p (0 < p < 1). Show that the only unbiased estimator of p is the estimator δ(X) such that δ(0) = 1 and δ(X) = 0 for X > 0.

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