Errors in variables regression;
Measurement error;
Linear structural model;
Method of moments;
Variance-covariance matrix;
MEASUREMENT ERROR;
REGRESSION MODEL;
VARIABLES;
SUBJECT;
D O I:
10.1016/j.stamet.2010.12.002
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In recent years there has been renewed interest in errors in variables regression models, where there are errors in the predictor variables as well as the dependent variable. Despite recent advances, the theory of the simple linear errors in variables model does not yet match the well known methodology of simple linear regression. This paper fills one of these gaps by presenting results for the straight line errors in variables model that will enable a practitioner to estimate not only the parameters of the model but also the approximate variances of these estimates. Attention is therefore focused on the variances of the model and the extraction of estimates. The presentation adopts a method of moments approach, but connections are made with the method of least squares and the maximum likelihood approach. (C) 2011 Elsevier B.V. All rights reserved.
机构:
Univ Putra Malaysia, Dept Math, Serdang 43400, Malaysia
Univ Putra Malaysia, Inst Math Res, Lab Computat Stat & Operat Res, Serdang 43400, MalaysiaUniv Putra Malaysia, Dept Math, Serdang 43400, Malaysia
Shitan, Mahendran
Peiris, Shelton
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h-index: 0
机构:
Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, AustraliaUniv Putra Malaysia, Dept Math, Serdang 43400, Malaysia
机构:
Univ Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia
IMFM, Jadranska 19, SI-1000 Ljubljana, SloveniaUniv Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia
Dolinar, Gregor
Kuzma, Bojan
论文数: 0引用数: 0
h-index: 0
机构:
IMFM, Jadranska 19, SI-1000 Ljubljana, Slovenia
Univ Primorska, Glagoljaska 8, SI-6000 Koper, SloveniaUniv Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia
Kuzma, Bojan
Marovt, Janko
论文数: 0引用数: 0
h-index: 0
机构:
IMFM, Jadranska 19, SI-1000 Ljubljana, Slovenia
Univ Maribor, Fac Econ & Business, Razlagova 14, SI-2000 Maribor, SloveniaUniv Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia
Marovt, Janko
Mosic, Dijana
论文数: 0引用数: 0
h-index: 0
机构:
Univ Nis, Fac Sci & Math, POB 224, Nish 18000, SerbiaUniv Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia