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Duration of a secretary problem

Part of: Stochastic processes Combinatorial probability

Published online by Cambridge University Press:  14 July 2016

Geoffrey F. Yeo
Geoffrey F. Yeo*
Affiliation:
Murdoch University
*
∗Postal address: Department of Mathematics and Statistics, Murdoch University, Murdoch 6150, Australia. [email protected]
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Abstract

The distribution of the number of items drawn in a secretary problem, with an order s selection role and a success if any of the best s items is selected, is obtained by a probabilistic argument. Moments and asymptotics readily follow.

Keywords

COMBINATORICSASYMPTOTICS

MSC classification

Primary: 60C05: Combinatorial probability
Secondary: 60G40: Stopping times; optimal stopping problems; gambling theory
Type
Short Communications
Information
Journal of Applied Probability , Volume 34 , Issue 2 , June 1997 , pp. 556 - 558
Copyright
Copyright © Applied Probability Trust 1997 

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References

Feller, W. (1968) An Introduction to Probability Theory and Its Applications. Wiley, New York.Google Scholar
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Quine, M. P. and Law, J. S. (1996) Exact results for a secretary problem. J. Appl. Prob. 33, 630–639.Google Scholar
Yeo, A. J. and Yeo, G. F. (1994) Selecting satisfactory secretaries. Aust. J. Statist. 36, 185–198.Google Scholar