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典型文献
Generalized Stepping Stone Model withΞ-resampling Mechanism
文献摘要:
A generalized stepping stone model withΞ-resampling mechanism is a two dimensional probability-measure-valued stochastic process whose moment dual is similar to that of the classical stepping stone model except that Kingman's coalescent is replaced byΞ-coalescent.We prove the existence of such a process by specifying its moments using the dual function-valuedΞ-coalescent process with geographical labels and migration,and then verifying a multidimensional Hausdorff moment problem.We also characterize the stationary distribution of the generalized stepping stone model and show that it is not reversible if the mutation operator is of uniform jump-type.
文献关键词:
作者姓名:
Hui Li LIU;Xiao Wen ZHOU
作者机构:
School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,P.R.China;Department of Mathematics and Statistics,Concordia University,Montreal H3G1M8,Canada
引用格式:
[1]Hui Li LIU;Xiao Wen ZHOU-.Generalized Stepping Stone Model withΞ-resampling Mechanism)[J].数学学报(英文版),2022(11):1998-2018
A类:
Kingman
B类:
Generalized,Stepping,Stone,Model,resampling,Mechanism,generalized,stepping,stone,model,mechanism,two,probability,measure,valued,stochastic,process,whose,dual,similar,that,classical,except,coalescent,replaced,by,We,prove,existence,such,specifying,its,moments,using,function,geographical,labels,migration,then,verifying,multidimensional,Hausdorff,problem,also,characterize,stationary,distribution,show,not,reversible,mutation,operator,uniform,jump,type
AB值:
0.605819
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