ON ONE SUFFICIENT CONDITION for the VALIDITY of the STRONG LAW of LARGE NUMBERS for MARTINGALES

被引：0

作者：

Koval V.A. ^{[1
]}

机构：

[1] Kiev Polytechnic Institute, Kiev

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 10期

关键词：

Independent Random Variable; High Moment;

D O I：

10.1023/A:1010401101048

中图分类号：

学科分类号：

摘要：

We prove a theorem on the strong law of large numbers for martingales. The existence of higher moments is not assumed. From the theorem proved, we deduce numerous well-known results on the strong law of large numbers both for martingales and for sequences of sums of independent random variables. © 2000 Plenum Publishing Corporation.

引用

页码：1554 / 1560

页数：6

共 50 条

[41] ON THE STRONG LAW OF LARGE NUMBERS
ERDOS, P
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 67 (SEP) : 51 - 56
[42] BERNOULLI'S LAW OF LARGE NUMBERS AND THE STRONG LAW OF LARGE NUMBERS
Chibisov, D. M.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2016, 60 (02) : 318 - 319
[43] THE STRONG LAW OF LARGE NUMBERS
BRUNK, HD
DUKE MATHEMATICAL JOURNAL, 1948, 15 (01) : 181 - 195
[44] ON STRONG LAW OF LARGE NUMBERS
PETROV, VV
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1969, 14 (02): : 183 - &
[45] Strong law of large numbers for supercritical superprocesses under second moment condition
Zhen-Qing Chen
Yan-Xia Ren
Renming Song
Rui Zhang
Frontiers of Mathematics in China, 2015, 10 : 807 - 838
[46] On the strong law of large numbers for sequences of random variables without the independence condition
Korchevsky V.M.
Vestnik St. Petersburg University: Mathematics, 2011, 44 (4) : 268 - 271
[47] Strong law of large numbers for supercritical superprocesses under second moment condition
Chen, Zhen-Qing
Ren, Yan-Xia
Song, Renming
Zhang, Rui
FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (04) : 807 - 838
[48] Necessary conditions in the law of large numbers for martingales and associated systems
Yas'kov, P. A.
RUSSIAN MATHEMATICAL SURVEYS, 2011, 66 (04) : 822 - 824
[49] A generalized strong law of large numbers
Colubi, A
López-Díaz, M
Domínguez-Menchero, JS
Gil, MA
PROBABILITY THEORY AND RELATED FIELDS, 1999, 114 (03) : 401 - 417
[50] A generalized strong law of large numbers
Ana Colubi
Miguel López-Díiaz
J. Santos Domíinguez-Menchero
M. Angeles Gil
Probability Theory and Related Fields, 1999, 114 : 401 - 417

← 1 2 3 4 5 →