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Let X1,X2,,Xn be the random sample from a distribution with an unknown parameter and cumulative distribution 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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Let X1,X2,,Xn be the random sample from a distribution with an unknown parameter and cumulative distribution 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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