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Risk comparison of the Stein-rule estimator in a linear regression model with omitted relevant regressors and multivariatet errors under the Pitman nearness criterion

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  • Akio Namba
  • Kazuhiro Ohtani

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  • Akio Namba & Kazuhiro Ohtani, 2007. "Risk comparison of the Stein-rule estimator in a linear regression model with omitted relevant regressors and multivariatet errors under the Pitman nearness criterion," Statistical Papers, Springer, vol. 48(1), pages 151-162, January.
    • Handle: RePEc:spr:stpapr:v:48:y:2007:i:1:p:151-162
    DOI: 10.1007/s00362-006-0321-z
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    References listed on IDEAS

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    1. Namba, Akio, 2002. "Pmse Performance Of The Biased Estimators In A Linear Regression Model When Relevant Regressors Are Omitted," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1086-1098, October.
    2. Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-280, April.
    3. Giles, Judith A., 1991. "Pre-testing for linear restrictions in a regression model with spherically symmetric disturbances," Journal of Econometrics, Elsevier, vol. 50(3), pages 377-398, December.
    4. Singh, Radhey S., 1988. "Estimation of error variance in linear regression models with errors having multivariate student-t distribution with unknown degrees of freedom," Economics Letters, Elsevier, vol. 27(1), pages 47-53.
    5. Ohtani, Kazuhiro, 1996. "Further improving the Stein-rule estimator using the Stein variance estimator in a misspecified linear regression model," Statistics & Probability Letters, Elsevier, vol. 29(3), pages 191-199, September.
    6. Ohtani, Kazuhiro, 1993. "A Comparison of the Stein-Rule and Positive-Part Stein-Rule Estimators in a Misspecified Linear Regression Model," Econometric Theory, Cambridge University Press, vol. 9(4), pages 668-679, August.
    7. Ohtani, Kazuhiro & Giles, Judith, 1993. "Testing linear restrictions on coefficients in a linear regression model with proxy variables and spherically symmetric disturbances," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 393-406.
    8. Giles, Judith A., 1992. "Estimation of the error variance after a preliminary-test of homogeneity in a regression model with spherically symmetric disturbances," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 345-361.
    9. Ullah, Aman & Zinde-Walsh, Victoria, 1984. "On the Robustness of LM, LR, and W Tests in Regression Models," Econometrica, Econometric Society, vol. 52(4), pages 1055-1066, July.
    10. Judge, George & Miyazaki, Shigetaka & Yancey, Thomas, 1985. "Minimax Estimators for the Location Vectors of Spherically Symmetric Densities," Econometric Theory, Cambridge University Press, vol. 1(3), pages 409-417, December.
    11. Akio Namba, 2001. "MSE performance of the 2SHI estimator in a regression model with multivariate t error terms," Statistical Papers, Springer, vol. 42(1), pages 81-96, January.
    12. Ohtani, Kazuhiro & Hasegawa, Hikaru, 1993. "On Small Sample Properties of R2 in a Linear Regression Model with Multivariate t Errors and Proxy Variables," Econometric Theory, Cambridge University Press, vol. 9(3), pages 504-515, June.
    13. Mittelhammer, R.C., 1984. "Restricted least squares, pre-test, ols and stein rule estimators: Risk comparisons under model misspecification," Journal of Econometrics, Elsevier, vol. 25(1-2), pages 151-164.
    14. Prucha, Ingmar R & Kelejian, Harry H, 1984. "The Structure of Simultaneous Equation Estimators: A Generalization towards Nonnormal Disturbances," Econometrica, Econometric Society, vol. 52(3), pages 721-736, May.
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    Cited by:

    1. Mohammad Arashi & Mahdi Roozbeh, 2015. "Shrinkage estimation in system regression model," Computational Statistics, Springer, vol. 30(2), pages 359-376, June.

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