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Simulation of the Matching Problem of Montmort

Published online by Cambridge University Press:  27 July 2009

Frans Schalekamp
Frans Schalekamp
Affiliation:
Department of Econometrics, Vrije University, 1081 HV Amsterdam
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Abstract

This note presents an efficient algorithm for the simulation of the number of invariant positions in a random permutation of the integers 1,..., n. An application to the famous matching problem of Montmort is discussed.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 3 , July 1998 , pp. 325 - 328
Copyright
Copyright © Cambridge University Press 1998

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References

1.de Montmort, P.R. (1708). Essay d'analyse sur les jeux de hazard. Paris: J. Quillan.Google Scholar
2.Ross, S.M. (1997). Simulation, 2nd ed.Orlando: Academic Press.Google ScholarPubMed
3.Ross, S.M. (1997). Introduction to probability models, 6th ed.Orlando: Academic Press.Google Scholar