Let X1,X2, . . . , Xn denote independent and identically distributed random variables and define the
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Let X1,X2, . . . , Xn denote independent and identically distributed random variables and define the order statistics X(1), . . . , X(n) by X(i) ≡ ith smallest of X1, . . . , Xn Show that if the distribution of Xj is IFR, then so is the distribution of X(i).
Hint: Relate this to one of the examples of this chapter.
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