Question: Let (xx) be a random sample from a Bernoulli distribution with P(X, = 1) = 0 = 1 P(X, = 0), where 0 <

Let (xx„) be a random sample from a Bernoulli distribution with P(X, = 1) = 0 = 1 — P(X, = 0), where 0 < 0 < 1.

Find an unbiased estimator of 0 2.

Compare this result with Example 9.1.4. Show that 1 / 0 " does not have an unbiased estimator for any integer r > 0 .

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