Question: Let X 1 , X 2 , . . . , X n be the random sample from a distribution with an unknown parameter and

Let X₁, X₂, . . . , X_n be the random sample from a distribution with an unknown parameter and probability density function given by f (x) = e^(x), x > . (a) Calculate the method of moment estimator for . Is it a consistent estimator? (b) Calculate the maximum likelihood estimator for . Is it a consistent estimator?

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