= Kaplan–Meier telescoping across a censor-free interval
{c}
{title2=$\widehat S(b)=\widehat S(a)(r-d)/r$}
For a fixed cohort with $r$ individuals at risk just after $a$, no censoring or entry inside $(a,b)$, and $d$ events in $(a,b]$, the <Kaplan–Meier estimator> factors telescope to the displayed ratio. A tied group of $d_j$ events contributes $(r_j-d_j)/r_j$, the same product as any sequential ordering without intervening censoring. Events at $b$ are counted before censoring at the same time under the usual convention.
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