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Measuring interference in the chiasma renewal formation process

Published online by Cambridge University Press:  01 July 2016

Samuel Karlin  and
Uri Liberman
Samuel Karlin*
Affiliation:
Stanford University
Uri Liberman*
Affiliation:
Tel-Aviv University
*
∗Postal address: Department of Mathematics, Stanford University, Stanford, CA 94305, U.S.A.
∗∗Postal address: Department of Statistics, Tel-Aviv University, Ramat Aviv, Tel-Aviv, Israel.
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Abstract

Multilocus recombination structure is introduced using recombination and linkage values. The notion of chiasma interference is discussed and the coincidence measure of interference is defined. The global nature of positive, negative or non-interference is characterized using linkage values. In the case of the renewal chiasma formation process with interdistance distribution F it is shown that the nature of interference depends on the ‘ageing' properties of F such as IFR, NBU, NBUE and DMRL.

Keywords

RECOMBINATION VALUELINKAGE VALUECOINCIDENCE MEASURERENEWAL CHIASMA FORMATION PROCESS
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 3 , September 1983 , pp. 471 - 487
Copyright
Copyright © Applied Probability Trust 1983 

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Footnotes

Research supported in part by NSF Grant MCS79-24310 and NIH Grants GM10452-18 and GM28016.

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