Secretary Problem Thresholds and Convergents of 1/e
classification
🧮 math.PR
math.NT
keywords
applicantsproblemsecretarycontinuedconvergentconvergentsfractioninitially
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We prove that if $p/q$ is a continued fraction convergent of $1/e$ with $q\geq 3$, then, for the secretary problem with $q$ applicants, the optimal number of initially rejected applicants is $p$.
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