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Let X 1 , , X n be a random sample from a population with pdf f X ( x ) = 1 / ,

Let X1,,Xn be a random sample from a population with pdf

fX(x)=1/ , if 0<x<,

0 if otherwise

Let X(1)<<X(n) be the order statistics. Show that X(1)/X(n) and X(n) are independent random variables.

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