Polanski A, Bobrowski A, Kimmel M
Department of Statistics, Rice University, 6100 Main Street, Mail Stop 138, P.O. Box 1892, Houston, TX, USA.
Theor Popul Biol. 2003 Feb;63(1):33-40. doi: 10.1016/s0040-5809(02)00010-2.
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.
推导了时变合并过程中时间的边际分布表达式。所提出的方法还允许计算合并时间对、三元组等的联合概率分布。推导的表达式对于(1)将几个统计量从时间常数情况扩展到时间变化情况,(2)提高时变演化模拟的效率和准确性,以及(3)调试合并模拟软件很有用。