19. LetX1,X2, . . . ,Xn denote independent and identically distributed random variables and define the order

Question:

19. LetX1,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.

Fantastic news! We've Found the answer you've been seeking!