Erlang renewal models for genetic recombination

John P. Nolan ()
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John P. Nolan: American University

Journal of Statistical Distributions and Applications, 2017, vol. 4, issue 1, 1-17

Abstract: Abstract 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.

Keywords: Erlang renewal processes; Genetic recombination; Multilocus probabilities; Crossover interference; Generalized hyperbolic functions; Alternating renewal processes; 60C05; 60E15; 92D10 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1186/s40488-017-0064-5

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