渐近几乎负相关随机变量和的完全f矩收敛与统计应用

Pub Date : 2023-10-04 DOI:10.1080/17442508.2023.2263606
Houlin Zhou, Chao Lu, Xuejun Wang
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引用次数: 0

摘要

摘要本文主要研究渐近几乎负相关(AANA)随机变量和的完全f矩收敛性,并给出了一个应用。得到了行AANA随机变量阵列完全f矩收敛的一般结果。利用所建立的完全f矩收敛的结果,给出了基于AANA误差的非参数回归模型的一个应用。给出了完全一致性的充分必要矩条件。最后,通过数值仿真验证了理论结果的有效性。关键词:渐近几乎负相关随机变量完全f矩收敛完全收敛非参数回归模型完全一致性数学主题分类:60F1562G05致谢作者非常感谢编辑和匿名审稿人仔细阅读稿件并提出宝贵意见,帮助改进本文的早期版本。披露声明作者未报告潜在的利益冲突。附加信息国家社会科学基金项目(22BTJ059)资助。
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Complete f -moment convergence for sums of asymptotically almost negatively associated random variables with statistical applications
AbstractIn this paper, we mainly study the complete f-moment convergence for sums of asymptotically almost negatively associated (AANA, for short) random variables and provide an application. A general result on complete f-moment convergence for arrays of rowwise AANA random variables is obtained. We also give an application to nonparametric regression models based on AANA errors by using the result on complete f-moment convergence that we have established. A sufficient and necessary moment condition for the complete consistency is presented. Finally, a numerical simulation is provided to verify the validity of the theoretical result.Keywords: Asymptotically almost negatively associated random variablescomplete f-moment convergencecomplete convergencenonparametric regression modelcomplete consistencyMathematical subject classifications: 60F1562G05 AcknowledgmentsThe authors are most grateful to the Editor and anonymous referee for carefully reading the manuscript and valuable suggestions which helped in improving an earlier version of this paper.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingSupported by the National Social Science Foundation of China (22BTJ059).
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