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Recognizing the maximum of a random sequence based on relative rank with backward solicitation

Published online by Cambridge University Press:  14 July 2016

Mark C. K. Yang
Mark C. K. Yang*
Affiliation:
University of Florida, Gainesville
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Abstract

The classical secretary problem is generalized to admit stochastically successful procurement of previous interviewees, but each has a certain probability of refusing the offer. A general formula for solving this problem is obtained. Two special cases: constant probability of refusing and geometric probability of refusing are discussed in detail. The optimal stopping rules in these two cases turn out to be simple.

Keywords

OPTIMAL STOPPING RULESECRETARY PROBLEMRANK SELECTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 504 - 512
Copyright
Copyright © Applied Probability Trust 1974 

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References

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