Complete f-moment convergence for weighted sums of asymptotically almost negatively associated random variables and its application in semiparametric regression models

IF 1.1 2区 经济学 Q3 BUSINESS, FINANCE Finance and Stochastics Pub Date : 2023-07-04 DOI:10.1080/17442508.2023.2229644
Junjun Lang, Jibing Qi, Fei Zhang, Xuejun Wang
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Abstract

In this paper, we investigate the complete f-moment convergence for weighted sums of asymptotically almost negatively associated (AANA, for short) random variables. Our results improve and generalize the corresponding ones of [M.M. Xi, X. Deng, X.J. Wang, and Z.Y. Cheng, convergence and complete convergence for weighted sums of AANA random variables, Commun. Stat. Theory Methods 47(22) (2018), pp. 5604–5613]. As an application of our main results, some results on the complete consistency for the estimator in semiparametric regression models are obtained and a simulation study is provided to assess the finite sample performance of the theoretical results.
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渐近几乎负相关随机变量加权和的完全f矩收敛及其在半参数回归模型中的应用
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来源期刊
Finance and Stochastics
Finance and Stochastics 管理科学-数学跨学科应用
CiteScore
2.90
自引率
5.90%
发文量
20
审稿时长
>12 weeks
期刊介绍: The purpose of Finance and Stochastics is to provide a high standard publication forum for research - in all areas of finance based on stochastic methods - on specific topics in mathematics (in particular probability theory, statistics and stochastic analysis) motivated by the analysis of problems in finance. Finance and Stochastics encompasses - but is not limited to - the following fields: - theory and analysis of financial markets - continuous time finance - derivatives research - insurance in relation to finance - portfolio selection - credit and market risks - term structure models - statistical and empirical financial studies based on advanced stochastic methods - numerical and stochastic solution techniques for problems in finance - intertemporal economics, uncertainty and information in relation to finance.
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