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Problem 10. Suppose X1, ..., Xn are i.i.d observations from a population with pmf P(X = 210) = 02(1 -0)1-2, , 2=0or1, Oses NIK (1)

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Problem 10. Suppose X1, ..., Xn are i.i.d observations from a population with pmf P(X = 210) = 02(1 -0)1-2, , 2=0or1, Oses NIK (1) Find the MM estimator and MLE of 0. (2) Try to find the MSE of each of the estimators. (See Page 29 of Lecture 1 slides for the definition of MSE.) (3) Which estimator is preferred? Justify your choice

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