SOME RESULTS ON INCREMENTS OF THE WIENER PROCESS WITH APPLICATIONS TO LAG SUMS OF IID RANDOM-VARIABLES

被引：103
作者：
HANSON, DL [1 ]
RUSSO, RP [1 ]
机构：
[1] SUNY BUFFALO,DEPT STAT,BUFFALO,NY 14226
来源：
ANNALS OF PROBABILITY | 1983年 / 11卷 / 03期
关键词：
D O I：
10.1214/aop/1176993505
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：609 / 623
页数：15
相关论文
共 21 条
[1]   LARGE INTERVALS IN CSORGO-REVESZ THEOREM ON INCREMENTS OF A WIENER PROCESS [J].
BOOK, SA ;
SHORE, TR .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 46 (01) :1-11
[2]   ERDOS-RENYI NEW LAW OF LARGE NUMBERS FOR WEIGHTED SUMS [J].
BOOK, SA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (01) :165-171
[3]  
BOOK SA, 1976, CANAD J STATIST, V4, P185
[4]  
Chow Y. S., 1973, B I MATH ACAD SINICA, V1, P207
[5]   IMPROVED ERDOS-RENYI AND STRONG APPROXIMATION LAWS FOR INCREMENTS OF PARTIAL-SUMS [J].
CSORGO, M ;
STEINEBACH, J .
ANNALS OF PROBABILITY, 1981, 9 (06) :988-996
[6]   HOW BIG ARE THE INCREMENTS OF A WIENER PROCESS [J].
CSORGO, M ;
REVESZ, P .
ANNALS OF PROBABILITY, 1979, 7 (04) :731-737
[7]  
Csorgo M., 1981, STRONG APPROXIMATION
[8]   ON A NEW LAW OF LARGE NUMBERS [J].
ERDOS, P ;
RENYI, A .
JOURNAL D ANALYSE MATHEMATIQUE, 1970, 23 :103-&
[9]   ON THE LAW OF LARGE NUMBERS [J].
HANSON, DL ;
RUSSO, RP .
ANNALS OF PROBABILITY, 1981, 9 (03) :513-519
[10]   PROBABILITY IN TAIL OF A DISTRIBUTION [J].
KATZ, ML .
ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (01) :312-&
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