The Exact Risk Of A Weighted Average Estimator Of The Ols And Stein-Rule Estimators In Regression Under Balanced Loss

Statistics and Risk Modeling

Volumn 16, Issue 1, 1998, Pages 35-46

  Ohtani, Kazuhiro ^a  

^a NONE

Author keywords

Balanced loss; Risk function; Stein rule estimator; Weighted average estimator

Indexed keywords

EID: 85006546279     PISSN: 21931402     EISSN: 21967040     Source Type: Journal    
DOI: 10.1524/strm.1998.16.1.35     Document Type: Article

References (17)

1. Baranchik, A. J. (1970), A family of minimax estimators of the mean of a multivariate normal distribution, Annals of Mathematical Statistics, 41, 642-645.
2. Berger, J. O. (1980), Statistical Decision Theory and Bayesian Analysis, (New York, Springer- Verlag).
3. Giles, D. E. A. (1993), Pre-test estimation in regression under absolute error loss, Economics Letters, 41, 339-343.
4. Giles, J. A. and D. E. A. Giles (1993), Preliminary test estimation of the regression scale parameter when the loss function is asymmetric, Communications in Statistics-Theory and Methods, 22, 1709-1733.
5. Giles, J. A., D. E. A. Giles and K. Ohtani (1996), The exact risk of some pre-test and Stein- type regression estimators under balanced loss, Communications in Statistics-Theory and Methods, 25, 2901-2924.
6. Green, Eand W. E. Strawderman (1991), A James-Stein type estimator for combining un biased and possibly biased estimators, Journal of the American Statistical Association, 86, 1001-1006.
7. James, W. and C. Stein (1961), Estimation with quadratic loss, Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability 1, (Berkeley, University of California Press), 361-379.
8. Ohtani, K. (1993), A comparison of the Stein-rule and positive-part Stein-rule estimators in a misspecified linear regression model, Econometric Theory, 9, 668-679.
9. Ohtani, K. (1994), The density functions of R2 and 2, and their risk performance under asymmetric loss in misspecified linear regression models, Economic Modelling, 11, 463-471.
10. Ohtani, K. (1995), Generalized ridge regression estimators under the LINEX loss function, Statistical Papers, 36, 99-110.
11. Rodriguea, J. and A. Zellner (1994), Weighted balanced loss function and estimation of the mean time to failure, Communications in Statistics- Theory and Methods, 23, 3609-3616.
12. Stein, C. (1956), Inadmissibility of the usual estimator for the mean of a multivariate normal distribution, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability 1, (Berkeley, University of California Press), 197-206.
13. Srivastava, V. K. and B. B. Rao (1992), Estimation of disturbance variance in linear regression models under asymmetric loss function, Journal of Quantitative Economics, 8, 341-345.
14. Varian, H. R(1975), A Bayesian approach to real estate assessment, in Studies in Bayesian Econometrics and Statistics in Honor of Leonard JSavage, eds. S E. Fienberg and A. Zellner, (Amsterdam, North-Holland), 195-208.
15. Wan, A. T. K. (1994), Risk comparison of the inequality constrained least squares and other related estimators under balanced loss, Economics Letters, 46, 203-210.
16. Zeliner, A. (1986), Bayesian estimation and prediction using asymmetric loss functions, Journal of the American Statistical Association, 81, 446-451
17. Zellner, A. (1994), Bayesian and non-Bayesian estimation using balanced loss functions, in Statistical Decision Theory and Related Topics V, eds. S. S. Gupta and J O. Berger, (Springer-Verlag), 377-390.