A note on distributions of times to coalescence, under time-dependent population size.
Expressions for marginal distributions of times in the time-varying coalescence process are derived. The proposed method allows also for computation of joint probability distribution for pairs, triples, etc. of coalescence times. The expressions derived are useful for (1) extending several statistics from time constant to time-varying case, (2) increasing efficiency and accuracy of simulations in time-varying evolution, and (3) debugging coalescence simulation software.
Polanski
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Department of Statistics, Rice University, 6100 Main Street, Mail Stop 138, P.O. Box 1892, Houston, TX, USA.
Bobrowski
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Kimmel
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D000818:Animals; D005075:Biological Evolution; D005828:Genetics, Population / Q000706:statistics & numerical data*; D010375:Pedigree; D011156:Population Density; D011336:Probability; D013223:Statistics as Topic / Q000379:methods