Erlang renewal models for genetic recombination

Erlang renewal models, also called chi-squared models, provide a tractable model for genetic recombination that exhibits positive interference. Closed form expressions for multilocus probabilities are derived for the crossover process when it is a renewal process with the distance between crossovers...

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Bibliographic Details
Published in:Journal of statistical distributions and applications Vol. 4; no. 1; p. 1
Main Author: Nolan, John P.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 15.10.2017
Springer Nature B.V
Subjects:
Biological effects
Crossovers
Genetic recombination
Humanities and Social Sciences
ICOSDA 2016
International Conference on Statistical Distributions and Applications
Mathematical models
Mathematics and Statistics
multidisciplinary
Probability distribution functions
Science
Statistical Theory and Methods
Statistics
Statistics and Computing/Statistics Programs
Crossover interference
60E15
92D10
Alternating renewal processes
60C05
Generalized hyperbolic functions
Multilocus probabilities
Genetic recombination
Erlang renewal processes
ISSN:2195-5832, 2195-5832
Online Access:Get full text
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Summary:Erlang renewal models, also called chi-squared models, provide a tractable model for genetic recombination that exhibits positive interference. Closed form expressions for multilocus probabilities are derived for the crossover process when it is a renewal process with the distance between crossovers modeled by a Erlang distribution. These expressions yield explicit formulas for the map functions, coincidence functions and distributions of the identity-by-descent process, giving exact results for a class of models that better model observed biological data.
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ISSN:2195-5832
2195-5832
DOI:10.1186/s40488-017-0064-5