Improved estimation of regression parameters in measurement error models

Journal of Multivariate Analysis

Volumn 95, Issue 2, 2005, Pages 273-300

  Kim, H M ^a   Saleh, A K Md Ehsanes ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b CARLETON UNIVERSITY   (Canada)

Author keywords

Confidence regions; Empirical Bayes; Linear regression; Point estimation

Indexed keywords

EID: 22944488890     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmva.2004.08.007     Document Type: Article

References (24)

1. T.A. Bancroft On biases in estimation due to the use of preliminary tests of significance Ann. Math. Statist. 15 1944 190-204
2. L.D. Brown On the admissibility of invariant estimators of one or more location parameters Ann. Math. Statist. 37 1966 1087-1136
3. C.L. Cheng, J.W. Van Ness, Statistical Regression with Measurement Error, Kendall's Library of Statistics, vol. 6, Arnold, London, 1999.
4. W.A. Fuller Measurement Error Models 1987 Wiley New York
5. L.J. Gleser The importance of assessing measurement reliability in multiple regression J. Amer. Statist. Assoc. 87 1992 696-707
6. J.T. Hwang G. Casella Minimax confidence sets for the mean of a multivariate normal distribution Ann. Math. Statist. 10 1982 868-881
7. J.T. Hwang, G. Casella, Improved set estimators for a multivariate normal mean, Statist. Decisions (Supp. 1) (1984) 3-16.
8. W. James C. Stein Estimation with quadratic loss Proceedings of the Fourth Berkeley Symposium on Mathematics and Statistics Probability vol. 1 1961 361-379
9. V.M. Joshi Inadmissibility of the usual confidence sets for the mean of a multivariate normal population Ann. Math. Statist. 38 1967 1868-1875
10. G.G. Judge M.E. Bock The Statistical Implications of Pretest and Stein Rule Estimators in Econometrics 1978 North-Holland Publications New York
11. H.M. Kim A.K.Md.E. Saleh Preliminary test estimation of the parameters of simple linear model with measurement error Metrika 57 2003 223-251
12. C. Robert A.K.Md.E. Saleh in: A.K.Md.E. Saleh (Ed.) Recentered Confidence Sets: A Review. Data Analysis from Statistical Foundations - A Festschrift in Honour of the 75th Birthday of D.A.S. Fraser 2001 295-308
13. A.K.Md.E. Saleh Asymptotic properties of stein-type confidence sets an U-statistics approach Sankhya 65 Part 2 2003 1-11
14. A.K.Md.E. Saleh C.P. Han Shrinkage estimations in regression analysis Estadistica 42 139 1990 40-63
15. A.K.Md.E. Saleh P.K. Sen Nonparametric estimation of location parameter after a preliminary test on regression Ann. Statist. 6 1978 154-168
16. A.K.Md.E. Saleh P.K. Sen On shrinkage least-squares estimation in a parallelism problem Comm. Statist. Theory Methods 15 1986 1451-1466
17. H. Schneeweiss Consistent estimation of a regression with errors in the variables Metrika 23 1976 101-115
18. P.K. Sen A.K.Md.E. Saleh On preliminary test and shrinkage M-estimation in linear models Ann. Statist. 15 1987 1580-1592
19. P.K. Sen J.M. Singer Large Sample Methods in Statistics 1993 Chapman & Hall New York
20. Shalabh Performance of Stein rule procedure for simultaneous prediction of actual and average values of study variable in linear regression models Bull. Internat. Statist. Inst. 56 1995 1375-1390
21. Shalabh Improved estimation in measurement error models through Stein rule procedure J. Multivariate Anal. 67 1998 35-48
22. T.D. Stanley Stein rule least squares estimation, a heuristic for fallible data Econ. Lett. 20 1986 147-150
23. T.D. Stanley Improved estimators in some linear errors-in variables models in finite samples J. Forecasting 7 1988 103-113
24. C. Stein, Inadmissibility of the ususal estimator for the mean of a multivariate normal distribution, Proceedings of the Third Berkeley Symposium on Mathematics and Statistical Probability, vol. 1, 1956, pp. 197-206.xdvi.