ON THE WEAK-CONVERGENCE OF A SEQUENCE OF GENERAL STOCHASTIC DIFFERENCE-EQUATIONS TO A DIFFUSION

被引:18
作者
KUSHNER, HJ
HUANG, H
机构
关键词
D O I
10.1137/0140044
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
MATHEMATICAL TECHNIQUES
引用
收藏
页码:528 / 541
页数:14
相关论文
共 12 条
[1]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[2]   STABILITY AND CONTROL OF STOCHASTIC-SYSTEMS WITH WIDEBAND NOISE DISTURBANCES .1. [J].
BLANKENSHIP, G ;
PAPANICOLAOU, GC .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (03) :437-476
[3]   DIFFUSION APPROXIMATIONS TO LINEAR STOCHASTIC DIFFERENCE EQUATIONS WITH STATIONARY COEFFICIENTS [J].
GUESS, HA ;
GILLESPIE, JH .
JOURNAL OF APPLIED PROBABILITY, 1977, 14 (01) :58-74
[4]   SEMIGROUPS OF CONDITIONED SHIFTS AND APPROXIMATION OF MARKOV-PROCESSES [J].
KURTZ, TG .
ANNALS OF PROBABILITY, 1975, 3 (04) :618-642
[5]   JUMP-DIFFUSION APPROXIMATIONS FOR ORDINARY DIFFERENTIAL-EQUATIONS WITH WIDEBAND RANDOM RIGHT HAND SIDES [J].
KUSHNER, HJ .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1979, 17 (06) :729-744
[6]   A MARTINGALE METHOD FOR THE CONVERGENCE OF A SEQUENCE OF PROCESSES TO A JUMP-DIFFUSION PROCESS [J].
KUSHNER, HJ .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1980, 53 (02) :207-219
[7]   ASYMPTOTIC PROPERTIES OF STOCHASTIC APPROXIMATIONS WITH CONSTANT-COEFFICIENTS [J].
KUSHNER, HJ ;
HUANG, H .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1981, 19 (01) :87-105
[8]   RATES OF CONVERGENCE FOR STOCHASTIC-APPROXIMATION TYPE ALGORITHMS [J].
KUSHNER, HJ ;
HUANG, H .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1979, 17 (05) :607-617
[9]   DIFFUSION APPROXIMATIONS TO OUTPUT PROCESSES OF NON-LINEAR SYSTEMS WITH WIDEBAND INPUTS AND APPLICATIONS [J].
KUSHNER, HJ .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1980, 26 (06) :715-725
[10]  
PAPANICOLAOU GC, 1974, COMMUN PUR APPL MATH, V27, P641