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1. (5+5 pts). Let X1, ... X, and Y1, ..., Ym be two independent samples from a chi- squared distribution with k-degrees of freedom. Let

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1. (5+5 pts). Let X1, ... X, and Y1, ..., Ym be two independent samples from a chi- squared distribution with k-degrees of freedom. Let a, b be two positive numbers. Consider the following estimator for k k = a Xit . .. + Xn Yit . .. + Ym + b n m a) Find condition on a and b such that & is unbiased. b) What is the MSE of k

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