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Mathematics, 02.03.2020 17:05 namekianball4

Let X1, X2, · · · , Xn be a random sample from a population with probability mass function f(x) =    θ x = −1 2θ x = 0 1 − 3θ x = 1 , where θ is an unknown parameter satisfying 0 ≤ θ ≤ 1/3. (a) Find the method of moments estimator of θ. (b) Is the method of moments estimator an unbiased estimator of θ?

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