Some convergence properties for arrays of rowwise asymptotically almost negatively associated random variables under sub-linear expectations
In this article, under some suitable conditions, we study the L q convergence and complete q-th moment convergence for arrays of rowwise asymptotically almost negatively associated (AANA, for short) random variables under sub-linear expectations. Some general results on L q convergence and complete...
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Published in | Stochastic models Vol. 40; no. 3; pp. 536 - 568 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Philadelphia
Taylor & Francis
02.07.2024
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | In this article, under some suitable conditions, we study the L
q
convergence and complete q-th moment convergence for arrays of rowwise asymptotically almost negatively associated (AANA, for short) random variables under sub-linear expectations. Some general results on L
q
convergence and complete q-th moment convergence for arrays of rowwise AANA random variables under sub-linear expectations are established, which extend the corresponding ones from classic probability space to the case of sub-linear expectation space. As applications of our main results, we not only present a result on the complete consistency of the weighted estimator in a nonparametric regression model but also obtain the complete consistency of the estimators in errors-in-variables (EV, for short) regression models based on AANA errors under sub-linear expectations. We perform some numerical simulations to verify the validity of the theoretical results. |
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ISSN: | 1532-6349 1532-4214 |
DOI: | 10.1080/15326349.2023.2286961 |