A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces-Reference-Cited by-同舟云学术

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A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces

Published:1997-03 Issue:2 Volume:32 Page:167-174
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Adler André,Rosalsky Andrew,Volodin Andrej I.

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference16 articles.

1. On the strong law of large numbers;Beck,1963

2. Cesàro uniform integrability and Lp-convergence;Bose;Sankhya Ser. A,1993

3. Uniform integrability in the Cesàro sense and the weak law of large numbers;Chandra;Sankhya Ser. A,1989

4. Cesàro uniform integrability and the strong law of large numbers;Chandra;Sankhya Ser. A,1992

5. Probability Theory: Independence, Interchangeability, Martingales;Chow,1988

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Maximal inequalities for normed double sums of random elements in martingale type <i>p</i> Banach spaces with applications to degenerate mean convergence of the maximum of normed sums;Numerical Algebra, Control and Optimization;2024

2. A Note on Convergence in Mean for $$\boldsymbol{d}$$-Dimensional Arrays of Random Vectors in Hilbert Spaces Under the Cesàro Uniform Integrability;Lobachevskii Journal of Mathematics;2022-11

3. On the stochastic domination in Cesàro sense;Vinh University Journal of Science;2022-06-15

4. Some mean convergence theorems for weighted sums of Banach space valued random elements;Stochastics;2021-08-03

5. Convergence in p-mean for arrays of row-wise extended negatively dependent random variables;Acta Mathematica Hungarica;2016-08-23

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