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Q. 4 Suppose that X1, ..., Xn is a random sample from a population described by a Pareto distribution with probability density function A f(x;

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Q. 4 Suppose that X1, ..., Xn is a random sample from a population described by a Pareto distribution with probability density function A f(x; 0) = for x > 1 70+1 otherwise. where 0 > 1. a) Show that the mean of this distribution is E( X ) = 0 - 1 and hence find the method of moments estimator of 0. b) Find the maximum likelihood estimator of 0

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