LIMIT THEOREM FOR ROBBINS-MONRO APPROXIMATION

被引:18
作者
MAJOR, P [1 ]
REVESZ, P [1 ]
机构
[1] HUNGARIAN ACAD SCI,MATH INST,BUDAPEST 5,HUNGARY
来源
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1973年 / 27卷 / 01期
关键词
D O I
10.1007/BF00736010
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
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页码:79 / 86
页数:8
相关论文
共 8 条
[1]   APPROXIMATION METHODS WHICH CONVERGE WITH PROBABILITY ONE [J].
BLUM, JR .
ANNALS OF MATHEMATICAL STATISTICS, 1954, 25 (02) :382-386
[2]   ON A STOCHASTIC APPROXIMATION METHOD [J].
CHUNG, KL .
ANNALS OF MATHEMATICAL STATISTICS, 1954, 25 (03) :463-483
[3]   ON ASYMPTOTIC NORMALITY IN STOCHASTIC APPROXIMATION [J].
FABIAN, V .
ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (04) :1327-&
[4]  
Loeve M., 1960, PROBABILITY THEORY
[5]   A STOCHASTIC APPROXIMATION METHOD [J].
ROBBINS, H ;
MONRO, S .
ANNALS OF MATHEMATICAL STATISTICS, 1951, 22 (03) :400-407
[6]   ASYMPTOTIC-DISTRIBUTION OF STOCHASTIC-APPROXIMATION PROCEDURES [J].
SACKS, J .
ANNALS OF MATHEMATICAL STATISTICS, 1958, 29 (02) :373-405
[7]   ON DVORETZKY STOCHASTIC APPROXIMATION THEOREMS [J].
VENTER, JH .
ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (06) :1534-&
[8]   NORMAL APPROXIMATION AND LARGE DEVIATIONS FOR ROBBINS-MONRO PROCESS [J].
WOODROOFE, M .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1972, 21 (04) :329-+