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Extremal processes, secretary problems and the 1/e law

Published online by Cambridge University Press:  14 July 2016

Dietmar Pfeifer
Dietmar Pfeifer*
Affiliation:
University of Oldenburg
*
∗ Postal address: Fachbereich 6 Mathematik, Universität Oldenburg, Postfach 25 03, D-2900 Oldenburg, W. Germany.
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Abstract

We consider a class of secretary problems in which the order of arrival of candidates is no longer uniformly distributed. By a suitable embedding in a time-transformed extremal process it is shown that the asymptotic winning probability is again 1/e as in the classical situation. Extensions of the problem to more than one choice are also considered.

Keywords

NON-HOMOGENEOUS POISSON PROCESSPOISSON BINOMIAL DISTRIBUTIONCOUPLINGRECORD VALUES
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 4 , December 1989 , pp. 722 - 733
Copyright
Copyright © Applied Probability Trust 1989 

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