ITERATED LOGARITHM LAWS FOR ASYMMETRIC RANDOM-VARIABLES BARELY WITH OR WITHOUT FINITE MEANS

被引:42
作者
KLASS, M
TEICHER, H
机构
[1] UNIV CALIF BERKELEY,DEPT STAT,BERKELEY,CA 94720
[2] RUTGERS STATE UNIV,HILL CTR MATH SCI,DEPT STAT,NEW BRUNSWICK,NJ 08903
关键词
D O I
10.1214/aop/1176995656
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:861 / 874
页数:14
相关论文
共 16 条
[1]   STRONG LAW OF LARGE NUMBERS WHEN MEAN IS UNDEFINED [J].
ERICKSON, KB .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 185 (458) :371-381
[2]   NOTE ON THE LAW OF LARGE NUMBERS AND FAIR GAMES [J].
FELLER, W .
ANNALS OF MATHEMATICAL STATISTICS, 1945, 16 (03) :301-304
[3]   A LIMIT THEOREM FOR RANDOM VARIABLES WITH INFINITE MOMENTS [J].
FELLER, W .
AMERICAN JOURNAL OF MATHEMATICS, 1946, 68 (02) :257-262
[4]  
FELLER W, 1968, J MATH MECH, V18, P343
[5]  
FELLER W, 1966, INTRO PROBABILITY TH, V1
[6]  
Feller W., 1968, INTRO PROBABILITY TH, V2
[7]   TAIL PROBABILITIES FOR MARTINGALES [J].
FREEDMAN, DA .
ANNALS OF PROBABILITY, 1975, 3 (01) :100-118
[8]  
HEYDE CC, 1969, P AM MATH SOC, V23, P85
[9]   SUMS OF INDEPENDENT RANDOM VARIABLES WITHOUT MOMENT CONDITIONS [J].
KESTEN, H .
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (03) :701-&
[10]   TOWARD A UNIVERSAL LAW OF ITERATED LOGARITHM .1. [J].
KLASS, MJ .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 36 (02) :165-178