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Some properties of similar pairs

Published online by Cambridge University Press:  01 July 2016

Gunnar Blom and
Lars Holst
Gunnar Blom*
Affiliation:
University of Lund
Lars Holst*
Affiliation:
Royal Institute of Technology, Stockholm
*
∗ Postal address: Department of Mathematical Statistics, University of Lund, Box 118, S-221 00 Lund, Sweden.
∗∗ Postal address: Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden.
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Abstract

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In a given set, the elements are compared pairwise. The number W of similar pairs is studied, that is, the number of pairs with a certain property in common. Under certain conditions, W has, approximately, a Poisson distribution. Examples are considered connected with the birthday problem and with a circle problem involving DNA breakages.

Keywords

BIRTHDAY PROBLEMDISSOCIATED STATISTICSDNA BREAKAGESMULTINOMIAL DISTRIBUTIONPOISSON APPROXIMATION

Information

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 21 , Issue 4 , December 1989, pp. 941 - 944
Copyright
Copyright © Applied Probability Trust 1989 

References

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