Strong Consistency of Least-Squares Estimators in the Simple Linear Errors-in-Variables Regression Model with Widely Orthant Dependent Random Variables

被引:1
作者
Ding, Liwang [1 ]
Jiang, Caoqing [1 ]
机构
[1] Guangxi Univ Finance & Econ, Sch Informat & Stat, Mingxiu West Rd 100, Nanning 530003, Peoples R China
基金
美国国家科学基金会;
关键词
Errors-in-variables regression models; least square estimators; widely orthant dependent; strong consistency; LS ESTIMATORS; ASYMPTOTIC PROPERTIES; UNIFORM ASYMPTOTICS; CONVERGENCE;
D O I
10.1515/ms-2023-0059
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish some results on strong consistency for the least square estimator in a simple linear errors-in-variables regression models based on widely orthant dependent errors. The results obtained in the paper generalize or improve the corresponding ones for dependent random variables. We also carry out some simulation studies to verify the validity of our theoretical results.
引用
收藏
页码:811 / 824
页数:14
相关论文
共 33 条
[1]   The Assumptions of Linear Regression [J].
Allen, R. G. D. .
ECONOMICA-NEW SERIES, 1939, 6 (22) :191-204
[2]   ESTIMATION FOR THE MULTIVARIATE ERRORS-IN-VARIABLES MODEL WITH ESTIMATED ERROR COVARIANCE-MATRIX [J].
AMEMIYA, Y ;
FULLER, WA .
ANNALS OF STATISTICS, 1984, 12 (02) :497-509
[3]  
[Anonymous], 1995, Measurement Error in Nonlinear Models
[4]   An inequality of widely dependent random variables and its applications* [J].
Chen, Wei ;
Wang, Yuebao ;
Cheng, Dongya .
LITHUANIAN MATHEMATICAL JOURNAL, 2016, 56 (01) :16-31
[5]   Uniform asymptotics for the finite-time ruin probabilities of two kinds of nonstandard bidimensional risk models [J].
Chen, Yang ;
Wang, Le ;
Wang, Yuebao .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) :114-129
[6]  
Cui Hengjian, 1997, Systems Science and Mathematical Science, V10, P225
[7]   PANEL DATA FROM TIME-SERIES OF CROSS-SECTIONS [J].
DEATON, A .
JOURNAL OF ECONOMETRICS, 1985, 30 (1-2) :109-126
[8]   A NOTE ON THE CONSISTENCY OF WAVELET ESTIMATORS IN NONPARAMETRIC REGRESSION MODEL UNDER WIDELY ORTHANT DEPENDENT RANDOM ERRORS [J].
Ding, Liwang ;
Chen, Ping .
MATHEMATICA SLOVACA, 2019, 69 (06) :1471-1484
[9]   Asymptotic properties for LS estimators in EV regression model with dependent errors [J].
Fan, Guo-Liang ;
Liang, Han-Ying ;
Wang, Jiang-Feng ;
Xu, Hong-Xia .
ASTA-ADVANCES IN STATISTICAL ANALYSIS, 2010, 94 (01) :89-103
[10]   Asymptotic properties of an estimator in nonlinear functional errors-in-variables models with dependent error terms [J].
Fazekas, I ;
Kukush, AG .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 34 (10) :23-39