0

In the case at hand $F$ is the distribution function for a random variable and $s_n \uparrow s$, and so $F(s_n)\uparrow F(s)$ but what about this $F(s-)$?

Thanks in advance!

Alexander
  • 2,247
  • It's just a guess, but if the distribution has a discrete "density" at $s$, this might be shorthand for the limit of $F(x)$ as $x$ approaches $s$ from below. More context would be helpful to understand your Question. – hardmath Jan 02 '14 at 16:09

1 Answers1

2

It's the notation to show the limit from under : $$F(s-) = \lim\limits_{\begin{array}{l} t\to s\\t < s\end{array}} F(t)$$

Related, you could have a look at what "càdlàg" (in french : continue à droite, limite à gauche) which means continuous on the right and limit on the left.

user88595
  • 4,549