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Question: 539 exercise 529 continued suppose that x x are iid...

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5.3.9 (Exercise 5.2.9 Continued) Suppose that X, X are iid random variables having the negative exponential distribution with the common pdf given by for-oo < μ < oo, 0 < σ <oo. LetXy be the smallest order statistic and Tn =Σǐ.i(X-X, i), Show that n(Xn:1-μ)/Vo Y, the standard exponential random variable, as n oo, FYI: 5.2.9 (Example 4.4.12 Continued) Suppose thatX, ...X are iid random variables having the negative exponential distribution with the common pdf X be the smallest order statistic and T, -X-Xn:i). Show that (G)X u asn-00; (ii) V,-. (n-1)-1T,-a as n (iii) Xna/Vn P.μ/o as n- oo. oo;

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