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please solve quickly Q3: Let X1, X2... X. be the random sample from the density: f(x. 0) = 0x. Ine 0- 1 0 0 (a)

please solve quickly

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Q3: Let X1, X2... X. be the random sample from the density: f(x. 0) = 0x. Ine 0- 1 00 (a) Find an unbiased estimator of 0. (2.5) (b) Find a consistent estimator of 0. (2.5) (c) Find a sufficient statistic of 0. (2.5) (d) Find a complete statistic of 0. (2.5) (e) Find a function of 6 for which there exist an unbiased estimator whose variance coincides with the Cramer Rao lower bound if such exist. (05)

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