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Selecting satisfactory secretaries
Journal article   Peer reviewed

Selecting satisfactory secretaries

A.J. Yeo and G.F. Yeo
Australian Journal of Statistics, Vol.36(2), pp.185-198
2008
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Abstract

The probability of selecting the ath best out of n applicants in the secretary problem is evaluated by probabilistic arguments for monotone order k stopping rules. This leads to an explicit optimizing function for selecting (with payoffs) one of the k best applicants. This optimization problem can be solved directly both for a finite and for an unlimited number of applicants, yielding a variety of numerical results. Extensions are given for two choices with success if two applicants are selected from among the k best.

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