Marcinkiewicz-Zygmund Type Law of Large Numbers for Double Arrays of Random Elements in Banach Spaces

Le Van Dung; Thuntida Ngamkham; Nguyen Duy Tien; A. I.Volodin

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Marcinkiewicz-Zygmund Type Law of Large Numbers for Double Arrays of Random Elements in Banach Spaces

机译：Banach空间中随机元素双阵列的Marcinkiewicz-Zygmund型大数定律

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摘要

In this paper we establish Marcinkiewicz-Zygmund type laws of large numbers for double arrays of random elements in Banach spaces. Our results extend those of Hong and Volodin [6].

机译：在本文中，我们为Banach空间中随机元素的双数组建立了大数的Marcinkiewicz-Zygmund型定律。我们的结果扩展了Hong和Volodin的结果[6]。

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来源
《Lobachevskii journal of mathematics》 |2009年第4期|共10页
作者
Le Van Dung; Thuntida Ngamkham; Nguyen Duy Tien; A. I.Volodin;
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正文语种 eng
中图分类数学;
关键词
Marcinkiewicz-Zygmund inequality; Rademacher type p Banach spaces; Martingale type p Banach spaces; Double arrays of random elements; Strong and L_p laws of large numbers;

机译：Marcinkiewicz-Zygmund不等式;Rademacher型p Banach空间;Martingale型p Banach空间;双随机数组;大数的强和L_p定律;

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专利

1. Marcinkiewicz-Zygmund Type Law of Large Numbers for Double Arrays of Random Elements in Banach Spaces [J] . Le Van Dung, Thuntida Ngamkham, Nguyen Duy Tien, Lobachevskii journal of mathematics . 2009,第4期

机译：Banach空间中随机元素双阵列的Marcinkiewicz-Zygmund型大数定律
2. Weak laws of large numbers for double sums of independent random elements in Rademacher type p and stable type p Banach spaces [J] . Andrew Rosalsky, Le Van Thanh Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第12期

机译：Rademacher p型和稳定p型Banach空间中独立随机元素的两倍和的大数弱定律
3. Mean convergence theorems and weak laws of large numbers for double arrays of random elements in Banach spaces [J] . Le Van Dung, Nguyen Duy Tien Bulletin of the Korean Mathematical Society . 2010,第3期

机译：Banach空间中随机元素双阵列的均值收敛定理和大数弱定律
4. A STRONG LAW OF LARGE NUMBERS FOR SET-VALUED RANDOM VARIABLES IN RADEMACHER TYPE P BANACH SPACE [C] . LI GUAN, SHOU-MEI LI Proceedings of the 2006 International Conference on Machine Learning and Cybernetics . 2006

机译：R随机变量P型Banach空间中集值随机变量的大数强定律
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. A double projection algorithm for quasimonotone variational inequalities in Banach spaces [O] . Lian Zheng -1

机译：Banach空间中拟单调变分不等式的双投影算法
7. MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES [O] . Le Van Dung, Nguyen Duy Tien 2010

机译：Banach空间中随机元素双阵列的大数融合定理和弱规律
8. Marcinkiewicz-Zygmund Weak Laws of Large Numbers for Unconditional Random Elements in Banach Spaces [R] . Howell, J. O., Taylor, R. L. 1980

机译：Banach空间中无条件随机元素的marcinkiewicz-Zygmund弱大数定律

Marcinkiewicz-Zygmund Type Law of Large Numbers for Double Arrays of Random Elements in Banach Spaces

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