题名

Moment and Rank Estimation in Structural Errors-in-variable Models

DOI

10.29973/JCSA.200503.0006

作者

Gui-Jing Chen;A. K. Md. E. Saleh

关键词

Linear model ; structural E-V model ; least squares estimates ; rank estimates ; strong convergence ; asymptotical normality

期刊名称

中國統計學報

卷期/出版年月

43卷1期(2005 / 03 / 01)

页次

105 - 126

内容语文

英文

英文摘要

This paper considers structural errors-in-variable regression models with replicated observations. Some classical estimators, for example, least squares estimators are not consistent in general under such models. Modifying moment estimation and rank estimation, some estimators in linear structural errors-in-variable models have been constructed. For these estimators, strong convergence properties and asymptotical normality have been obtained.

主题分类 基礎與應用科學 > 統計
参考文献
  1. Fan, J. Q.,Truong, Y. K.(1993).Nonparametric regression with errors in variables.Ann. Statist.,21,1900-1925.
  2. Hall, P.,Heyde C. C.(1980).Martingale Limit Theory and Its Application.New York:Academic Press.
  3. Hαjek, J.,Šidak, Z.(1967).Theory of Rank Tests.New York:Academic Press.
  4. Kiffer, J.,Wolfowitz, J.(1956).Consistency of the maximum likelihood estimator in the presence of infinitely many nuisance parameters.Ann. Math. Statist.,27,887-906.
  5. Kim, H. M.,Saleh, A. K. Md. E.(2005).Improved estimation of regression parameters in measurment error models.Publish Ann. Math. Statist..
  6. Reiersol, O.(1950).Identifiability of a linear relation between variables which are subject to error.Econometrica,18,375-389.
  7. Saleh, A. K.,Md. E.,Sen, P. K.(1978).Nonparametric estimation of locationparameter after apreliminary test on regression.Ann. Statist,6,154-168.
  8. Zhang, S. G.,Chen, X. R.(2002).Asymptotic normality of parameters estimation in EV model with replicated observations.Acta Mathematica Scientia series B,22,1-8.
  9. Zhang, S. G.,Chen, X. R.(2002).Estimation in the polynomial errors-invariables model.Science in China series A,45,1-8.