Question: Let X1, . . . , Xn be a random sample from Pareto distribution with parameters > 0 and > 0, and with pdf f(x|,

Let X1, . . . , Xn be a random sample from Pareto distribution with parameters > 0 and > 0, and with pdf f(x|, ) = ((^))/X^(+1) , x < . For all > 1 the expectation is finite and equal to EX = 1 .

Find a sufficient statistic for alpha.

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