Question: =+2.17. By making the transformation U nFX X1; V n1 FX Xn in (6.8) with r 1, s n, for

=+2.17. By making the transformation U ¼ nFX ðXð1ÞÞ; V ¼ n½1 FX ðXðnÞÞ in (6.8) with r ¼ 1, s ¼ n, for any continuous FX , show that U and V are independent random variables in the limiting case as n ! 1, so that the two extreme values of a random sample are asymptotically independent.

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