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A natural class of multilocus recombination processes and related measures of crossover interference

Published online by Cambridge University Press:  01 July 2016

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, Israel. Research carried out while the author was visiting Stanford University.

Abstract

Various classifications and representations of multilocus recombination structures are delimited. A class of recombination distributions called the count–location chiasma process is parametrized by a distribution of the number of crossover events and for such crossover events by a conditional distribution of crossover locations. A number of properties and examples of this recombination structure are developed connecting orderings among the recombination mapping functions and the nature of interference.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1979 

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Footnotes

Research supported in part by NIH Grant GM10452-15 and NSF Grant MCS-76-80624-AO1.

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