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Let X1, . . . , Xin be a random sample from the pdf 29;, 0 Let XI, , Xn be a random sample from

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Let X1, . . . , Xin be a random sample from the pdf 29;, 0

Let XI, , Xn be a random sample from the pdf o, elsewhere. (a) Find the moment estimator of 0. (b) Find the maximum likelihood estimator for 0. [5 marks] [10 marks] (c) Discuss whether Rao-Cramr Lower Bound can be used to determine the mini- mum variance among all unbiased estimators of 0. [10 marks]

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