Strong Law of Large Numbers for Weighted Sums of Random Variables and Its Applications in EV Regression Models|PENG Yunjie;ZHENG Xiaoqian;YU Wei;HE Kaixin;WANG Xuejun|Wendian College,Anhui University,Hefei 230601,China - 期刊导航|首站-论文投稿智能助手|论文发表|论文智能投稿|期刊自助发表推荐|杂志社快速发表|查同导刊-域田数据官方网站

典型文献

Strong Law of Large Numbers for Weighted Sums of Random Variables and Its Applications in EV Regression Models

文献摘要：

This paper mainly studies the strong convergence properties for weighted sums of extended negatively dependent (END,for short) random variables.Some sufficient conditions to prove the strong law of large numbers for weighted sums of END random variables are provided.In particular,the authors obtain the weighted version of Kolmogorov type strong law of large numbers for END random variables as a product.The results that the authors obtained generalize the corresponding ones for independent random variables and some dependent random variables.As an application,the authors investigate the errors-in-variables (EV,for short) regression models and establish the strong consistency for the least square estimators,Simulation studies are conducted to demonstrate the performance of the proposed procedure and a real example is analysed for illustration.

文献关键词：

中图分类号：

[1] 医药、卫生（R） / 基础医学（R3） / 病理学（R36） / 病理过程（R364）

[2] 医药、卫生（R） / 药学（R9） / 药理学（R96） / 实验药理学（R965）

[3] 自动化技术、计算机技术（TP） / 计算技术、计算机技术（TP3） / 计算机的应用（TP39） / 信息处理(信息加工)（TP391）

作者姓名：

PENG Yunjie;ZHENG Xiaoqian;YU Wei;HE Kaixin;WANG Xuejun

作者机构：

School of Mathematical Sciences,Anhui University,Hefei 230601,China;Wendian College,Anhui University,Hefei 230601,China

文献出处：

系统科学与复杂性学报（英文版）

引用格式：

[1]PENG Yunjie;ZHENG Xiaoqian;YU Wei;HE Kaixin;WANG Xuejun-.Strong Law of Large Numbers for Weighted Sums of Random Variables and Its Applications in EV Regression Models)[J].系统科学与复杂性学报（英文版）,2022(01):342-360

A类：

Sums

B类：

Strong,Law,Large,Numbers,Weighted,Random,Variables,Its,Applications,EV,Regression,Models,This,paper,mainly,studies,strong,convergence,properties,weighted,sums,extended,negatively,END,short,random,variables,Some,sufficient,conditions,prove,law,large,numbers,provided,In,particular,authors,version,Kolmogorov,type,product,results,that,obtained,generalize,corresponding,ones,independent,some,application,investigate,errors,regression,models,establish,consistency,least,square,estimators,Simulation,conducted,demonstrate,performance,proposed,procedure,real,example,analysed,illustration

AB值：

0.583167

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