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5 5. (20 points) A sample of size N from a geometric distribution Geo(() with unknown 0. (a, 5 points) Show that the method of

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5. (20 points) A sample of size N from a geometric distribution Geo(() with unknown 0. (a, 5 points) Show that the method of moments estimation (MME) 0 = 1/Z. (b, 5 points) State the Central Limit Theorem for E, assuming 0 is not known. (c, 10 points) Using (a, b) and the delta method to get asymptotic normality for 0: VN(0 - 0) - N(0, p2), and find p

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