Question: Let X1, ...,Xn be a random sample from distribution with cdf F(x)=1 x2 for 1 x < , and 0 otherwise. Find the

Let X1, ...,Xn be a random sample from distribution with cdf F(x)=1 − x−2 for 1 ≤ x < ∞, and 0 otherwise. Find the cdf of limiting distribution of: (i) X1:n. (ii) Xn 1:n.

(iii) Xn:n/

√n.

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