On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations

On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations

In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space. Our consequences contain the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of la...

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Main Authors: Xiaochen Ma, Qunying Wu
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/7945431
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spelling doaj-f1732d395ddf40578dace4d2b6f81a1b2020-11-24T21:53:29ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/79454317945431On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear ExpectationsXiaochen Ma0Qunying Wu1College of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, ChinaIn this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space. Our consequences contain the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for weighted sums of extended negatively dependent random variables. Furthermore, our results extend strong law of large numbers for some sequences of random variables from the traditional probability space to the sublinear expectation space context.http://dx.doi.org/10.1155/2019/7945431
collection DOAJ
language English
format Article
sources DOAJ
author Xiaochen Ma
Qunying Wu
spellingShingle Xiaochen Ma
Qunying Wu
On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society
author_facet Xiaochen Ma
Qunying Wu
author_sort Xiaochen Ma
title On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
title_short On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
title_full On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
title_fullStr On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
title_full_unstemmed On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations
title_sort on some conditions for strong law of large numbers for weighted sums of end random variables under sublinear expectations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2019-01-01
description In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space. Our consequences contain the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for weighted sums of extended negatively dependent random variables. Furthermore, our results extend strong law of large numbers for some sequences of random variables from the traditional probability space to the sublinear expectation space context.
url http://dx.doi.org/10.1155/2019/7945431
work_keys_str_mv AT xiaochenma onsomeconditionsforstronglawoflargenumbersforweightedsumsofendrandomvariablesundersublinearexpectations
AT qunyingwu onsomeconditionsforstronglawoflargenumbersforweightedsumsofendrandomvariablesundersublinearexpectations
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