# Probability Notation $1\{Y_i \leq y\}$

I am reading a paper which references an outcome $$Y_i$$ for individual $$i$$. There is an associated function $$h_i(y) = 1\{Y_i \leq y\}$$, which is taken in expectation over all $$i$$. Is $$h_i(y)$$ just an indicator of whether $$Y_i \leq y$$?

• Yes, it is a common notation for indicator functions of an event in probability literature. A typical variant: $\mathbb{1}_{\{Y_i \leq y\}}$. May 12, 2020 at 3:31
• @NapD.Lover Thank you very much May 12, 2020 at 3:32

Yes it is a common notation in probability literature for the indicator function of a given event. Typical variant: $$\mathbb{1}_A$$ for some event $$A$$.