Strong convergence for weighted sums of (α, β)-mixing random variables and application to simple linear EV regression model

被引:0
|
作者
Hu, Wenjing [1 ]
Wang, Wei [1 ]
Wu, Yi [1 ]
机构
[1] Chizhou Univ, Ctr Appl Math, Sch Big Data & Artificial Intelligence, Chizhou 247000, Peoples R China
来源
OPEN MATHEMATICS | 2024年 / 22卷 / 01期
关键词
(alpha; beta)-mixing random variables; complete convergence; strong law of large numbers; simple linear errors-in-variables model; ASYMPTOTIC PROPERTIES; MOMENT CONVERGENCE; LS ESTIMATORS; CONSISTENCY;
D O I
10.1515/math-2024-0003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, the complete convergence and the Kolmogorov strong law of large numbers for weighted sums of (alpha, beta)-mixing random variables are presented. An application to simple linear errors-in-variables model is provided. Simulation studies are also carried out to support the theoretical results.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] Strong convergence for weighted sums of WOD random variables and its application in the EV regression model
    Liwang Ding
    Caoqing Jiang
    Applications of Mathematics, 2024, 69 : 93 - 111
  • [2] Strong Convergence for Weighted Sums of WOD Random Variables and its Application in the EV Regression Model
    Ding, Liwang
    Jiang, Caoqing
    APPLICATIONS OF MATHEMATICS, 2024, 69 (01) : 93 - 111
  • [3] STRONG CONVERGENCE FOR WEIGHTED SUMS OF ρ*-MIXING RANDOM VARIABLES
    Wu, Yongfeng
    Peng, JiangYan
    GLASNIK MATEMATICKI, 2014, 49 (01) : 221 - 234
  • [4] On the strong convergence for weighted sums of ρ*-mixing random variables
    Soo Hak Sung
    Statistical Papers, 2013, 54 : 773 - 781
  • [5] On the strong convergence for weighted sums of ρ *-mixing random variables
    Sung, Soo Hak
    STATISTICAL PAPERS, 2013, 54 (03) : 773 - 781
  • [6] Complete convergence for weighted sums of NSD random variables and its application in the EV regression model
    Wang, Xuejun
    Shen, Aiting
    Chen, Zhiyong
    Hu, Shuhe
    TEST, 2015, 24 (01) : 166 - 184
  • [7] Complete convergence for weighted sums of NSD random variables and its application in the EV regression model
    Xuejun Wang
    Aiting Shen
    Zhiyong Chen
    Shuhe Hu
    TEST, 2015, 24 : 166 - 184
  • [8] A NOTE ON THE STRONG CONVERGENCE FOR WEIGHTED SUMS OF ρ*-MIXING RANDOM VARIABLES
    Huang, Haiwu
    Zou, Hang
    Feng, Yanhong
    Feng, Fengxiang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (02): : 507 - 516
  • [9] Strong convergence results for weighted sums of ρ˜-mixing random variables
    Aiting Shen
    Ranchao Wu
    Journal of Inequalities and Applications, 2013
  • [10] On the strong convergence for weighted sums of random variables
    Sung, Soo Hak
    STATISTICAL PAPERS, 2011, 52 (02) : 447 - 454