DIFFUSION APPROXIMATIONS OF MARKOV-CHAINS WITH 2 TIME SCALES AND APPLICATIONS TO POPULATION-GENETICS

被引:82
作者
ETHIER, SN [1 ]
NAGYLAKI, T [1 ]
机构
[1] UNIV CHICAGO,DEPT BIOPHYS & THEORET BIOL,CHICAGO,IL 60637
关键词
D O I
10.2307/1426492
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
引用
收藏
页码:14 / 49
页数:36
相关论文
共 29 条
[1]  
BODMER WF, 1965, GENETICS, V51, P411
[2]   LIMIT-THEOREM FOR 2-LOCUS DIFFUSION-MODELS IN POPULATION-GENETICS [J].
ETHIER, SN .
JOURNAL OF APPLIED PROBABILITY, 1979, 16 (02) :402-408
[4]   ON OFFSPRING NUMBER DISTRIBUTION IN A GENETIC POPULATION [J].
FELDMAN, MW .
JOURNAL OF APPLIED PROBABILITY, 1966, 3 (01) :129-&
[5]  
Guess H. A., 1973, STOCH PROC APPL, V1, P287
[6]   PERTURBED SEMIGROUP LIMIT THEOREMS WITH APPLICATIONS TO DISCONTINUOUS RANDOM EVOLUTIONS [J].
KERTZ, RP .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 199 (NOV) :29-53
[7]   SEMIGROUP PERTURBATION THEOREM WITH APPLICATION TO A SINGULAR PERTURBATION PROBLEM IN NON-LINEAR ORDINARY DIFFERENTIAL-EQUATIONS [J].
KERTZ, RP .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 31 (01) :1-15
[8]  
KIMURA M., 1964, J. appl. Prob., V1, P177, DOI 10.2307/3211856
[9]  
Kurtz T., 1973, J FUNCT ANAL, V12, P55, DOI [DOI 10.1016/0022-1236(73)90089-X), DOI 10.1016/0022-1236(73)90089-X]
[10]  
Kurtz T. G., 1969, J FUNCT ANAL, V3, P354, DOI 10.1016/0022-1236(69)90031-7