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 $Y_i \leq y$?

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

1 Answer 1


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 $A$.


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