Let F(x)=P[Xle x] be the distribution function of a random variable X. Define Dn=lu ;; F(u)-F(u-) ge tfrac1nr, qquad n=1,2,3,dots Then:

(A) Dn cannot contain more than n elements

Q106Section III (Statistics)106 of 180

Jump points of a distribution function

Let $F(x)=\mathbb{P}[X\le x]$ be the distribution function of a random variable $X$ . Define

$D_n=\Bigl\{u \;\Big|\; F(u)-F(u-) \ge \tfrac1n\Bigr\}, \qquad n=1,2,3,\dots$

Then:

Pick an option to check your answer.

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