A remark on the Kolmogorov-Feller weak law of large numbers

被引：0

作者：

Boukhari, Fakhreddine ^{[1
]}

机构：

[1] Abou Bekr Belkaid Univ, Fac Sci, Lab Stat & Modelisat Aleatoires, BP 119, Tilimsen 13000, Algeria

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2022年 / 132卷 / 02期

关键词：

Limit theorems; weak law of large numbers; random variables with infinite means; maximal inequalities;

D O I：

10.1007/s12044-022-00705-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here, we present a strengthened version of the Kolmogorov-Feller weak law of large numbers. The proof is short and avoids the use of the symmetrization method.

引用

页数：4

共 50 条

[31] ON CONVERGENCE RATE IN THE WEAK LAW OF LARGE NUMBERS FOR FGM RANDOM SEQUENCES
Amini, Mohammad
Hadianfar, Omolbanin
Naderi, Habib
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (06) : 1617 - 1629
[32] A weak law of large numbers for realised covariation in a Hilbert space setting
Benth, Fred Espen
Schroers, Dennis
Veraart, Almut E. D.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2022, 145 : 241 - 268
[33] THE WEAK LAW OF LARGE NUMBERS WHEN EXTREME TERMS ARE EXCLUDED FROM SUMS
QI Yongcheng(Department of Probability and Statistics
Systems Science and Mathematical Sciences, 1996, (01) : 83 - 92
[34] On a weak law of large numbers and Lp-convergence for general random variables
Gao, Qi
Miao, Yu
QUAESTIONES MATHEMATICAE, 2024,
[35] Weak Law of Large Numbers Without Any Restriction on the Dependence Structure of Random Variables
Habib Naderi
Przemysław Matuła
Mohammad Amini
Bulletin of the Iranian Mathematical Society, 2022, 48 : 1959 - 1965
[36] Weak Law of Large Numbers Without Any Restriction on the Dependence Structure of Random Variables
Naderi, Habib
Matula, Przemyslaw
Amini, Mohammad
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (04) : 1959 - 1965
[37] Weak law of large numbers for i.i.d. fuzzy random variables
Hong, Duc Hun
Kim, Kyung Tae
KYBERNETIKA, 2007, 43 (01) : 87 - 96
[38] A note on the weak law of large numbers for weighted negatively superadditive dependent random variables
Naderi, Habib
Boukhari, Fakhreddine
Matula, Przemyslaw
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (21) : 7465 - 7475
[39] Functional Erdos-Renyi law of large numbers for nonconventional sums under weak dependence
Kifer, Yuri
ELECTRONIC JOURNAL OF PROBABILITY, 2017, 22
[40] Weak laws of large numbers in geometric probability
Penrose, MD
Yukich, JE
ANNALS OF APPLIED PROBABILITY, 2003, 13 (01) : 277 - 303

← 1 2 3 4 5 →