Improved Estimation in Measurement Error Models Through Stein Rule Procedure

Journal of Multivariate Analysis

Volumn 67, Issue 1, 1998, Pages 35-48

  Shalabh, ^a  

^a UNIVERSITY OF JAMMU   (India)

Author keywords

Measurement errors; ultrastructural model; Stein rule estimators; predictions; mean squared error matrix criterion

Indexed keywords

EID: 0039449798     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1998.1749     Document Type: Article

References (20)

1. Friedmann R., Mittag H.-J., Brandstäter A. An application of approximate sample results to parameter estimation in linear errors-in-variables model. Statist. Neerlandica. 45:1991;93-106.
2. Fuller W. A. Measurement Error Models. 1987;Wiley, New York.
3. Guilkey D. K., Price J. M. On comparing restricted least squares estimators. J. Econometrics. 15:1981;397-404.
4. Judge G. G., Bock M. E. The Statistical Implications of Pre-test and Stein-Rule Estimators in Econometrics. 1978;North-Holland, Amsterdam.
5. Moran P. A. P. Estimating structural and functional relationship. J. Multivariate Anal. 1:1971;232-255.
6. Rao C. R. Linear Statistical Inference and Its Applications. 1965;Wiley, New York.
7. Robertson C. A. Large-sample theory for the linear structural model. Biometrika. 61:1974;353-359.
8. Schneeweiss H. Consistent estimation of a regression with errors in the variables. Metrika. 23:1976;101-115.
9. Schneeweiss H. Estimating linear relations with errors-in-variables: The merging of two approaches. Contributions To Econometrics And Statistics Today. 1985;Springer-Verlag, Berlin.
10. Srivastava A. K., Shalabh. A new property of Stein procedure in measurement error model. Statist. Probab. Lett. 32:1997;231-234.
11. Srivastava V. K., Tiwari R. Evaluation of expectation of product of stochastic matrices. Scand. J. Statist. 3:1976;135-138.
12. Stanley T. D. Stein-rule least squares estimation, a heuristic for falliable data. Econ. Lett. 20:1986;147-150.
13. Stanley T. D. Forecasting from falliable data: Correcting prediction bias with Stein-rule least squares. J. Forecasting. 7:1988;103-113.
14. Stanley T. D. Galton, Stein and Empirical Bayes: Artifacts and connections. Statistica. XLIX:1989;499-511.
15. Stein C. Estimation of mean of a multivariate normal distribution. Prague Symposium Asymptotic Statistics. 1973;. p. 345-381.
16. Van Hoa T. Improved estimators in some linear errors-in-variables models in finite samples. Econ. Lett. 20:1986;355-358.
17. Vinod H. D., Srivastava V. K. Large sample asymptotic properties of doublek. Econometric Rev. 14:1995;75-100.
18. Whittemore A. S. Errors-in-variables regression using Stein estimation. Amer. Statist. 43:1989;226-228.
19. Yancy T. A., Judge G. G., Bock M. E. A mean squared error test when stochastic restrictions are used in regression. Commun. Statist. 3:1974;755-768.
20. Zheng Z. On estimation of matrix of normal mean. J. Multivariate Anal. 18:1986;70-82.