Weak law of large numbers for arrays

被引:7
作者
Sung, SH [1 ]
机构
[1] Pai Chai Univ, Dept Appl Math, Seo Gu, Taejon 320735, South Korea
关键词
arrays; weak law of large numbers; convergence in probability; sums of random variables; martingale difference sequence;
D O I
10.1016/S0167-7152(97)00159-4
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
A general weak law of large numbers for arrays is proved under mild conditions. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:101 / 105
页数:5
相关论文
共 50 条
[31]   A SELF-NORMALIZED WEAK LAW OF LARGE NUMBERS FOR EXCHANGEABLE SEQUENCES [J].
Stoica, George .
ADVANCES AND APPLICATIONS IN STATISTICS, 2011, 25 (02) :103-108
[32]   Counterexamples to a Central Limit Theorem and a Weak Law of Large Numbers for capacities [J].
Teran, Pedro .
STATISTICS & PROBABILITY LETTERS, 2015, 96 :185-189
[33]   A Quantitative Weak Law of Large Numbers and Its Application to the Delta Method [J].
Weba, M. .
MATHEMATICAL METHODS OF STATISTICS, 2009, 18 (01) :84-95
[34]   Weak law of large numbers and complete convergence for general dependent sequences [J].
Chang, M. ;
Miao, Y. .
ACTA MATHEMATICA HUNGARICA, 2023, 169 (02) :469-488
[35]   Mean Convergence and Weak Laws of Large Numbers for Multidimensional Arrays of Random Elements [J].
Vo Thi Van Anh ;
Nguyen Ngoc Tu .
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[36]   Mean Convergence and Weak Laws of Large Numbers for Multidimensional Arrays of Random Elements [J].
Anh, Vo Thi Van ;
Tu, Nguyen Ngoc .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (03)
[37]   On a weak law of large numbers and Lp-convergence for general random variables [J].
Gao, Qi ;
Miao, Yu .
QUAESTIONES MATHEMATICAE, 2024,
[38]   THE WEAK LAW OF LARGE NUMBERS WHEN EXTREME TERMS ARE EXCLUDED FROM SUMS [J].
QI Yongcheng(Department of Probability and Statistics .
Systems Science and Mathematical Sciences, 1996, (01) :83-92
[39]   Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of Lq-mixingale Arrays [J].
Gan Shi-xin School of Mathematics and Statistics .
Wuhan University Journal of Natural Sciences, 2003, (04) :1047-1050
[40]   Weak Law of Large Numbers Without Any Restriction on the Dependence Structure of Random Variables [J].
Habib Naderi ;
Przemysław Matuła ;
Mohammad Amini .
Bulletin of the Iranian Mathematical Society, 2022, 48 :1959-1965