Some Improved Mixed Regression Estimators and their Comparison when Disturbance Terms follow Multivariate T-Distribution
DOI:
https://doi.org/10.23755/rm.v32i0.330Keywords:
Stochastic restrictions, Mixed regression estimator, Stein- rule estimator, Multivariate t-distributionAbstract
The Mean square error matrices, bias vector and risk functions of proposed improved mixed regression estimators are obtained by employing the small disturbance approximation technique under the condition, when disturbance terms follows multivariate t-distribution. Further, the risk function criterion is used to examine the efficiency of proposed improved mixed regression estimators.References
Chaturvedi, A. and Shukla, G., Stein-rule estimation in linear models with non-scalar error covariance matrix, Sankhya, Series B, 52, (1990), 293-304.
Chaturvedi, A. ,Wan, A. T. K. and Singh, S. P., Stein-rule restricted regression estimator in a linear regression model with non-spherical disturbances, Communications in Statistics, Theory and Methods, 30, (2001), 55-68.
Giles, A.J., Pretesting for linear restriction in a regression model with spherically symmetric distributions, Journal of Econometrics, 50, (1991), 377-398.
Judge, G. G. and Bock, M. E., The Statistical Implications of Pre-Test and Stein-Rule Estimators in Econometrics, North Holland, Amsterdam, 1978.
Kadane, J.B.,Comparison of k-class Estimators When disturbance are small, Econometrica, 39, (1971), 723-737.
Ohtani, K. and Wan, A. T. K., On the sampling performance of an improved Stein inequality restricted estimator, Australian and New Zealand Journal of Statistics, 40, (1998), 181-187.
Rao, C. R., Linear Statistical Inference and Its Applications, 2nd Edition. John Wiley,New York, 1973 .
ShalabhandWan, A.T.K., Stein-rule estimation in mixed regression models, Biometrical Journal, 42, (2000) 203-214.
Sutradhar, B.C.andAli, M.M., Estimation of parameters of regression with a Multivariate t-error variable, Communication Statistics - Theory and Methods, A 15, (1986), 429-450.
Sutradhar, B.C., Testing Linear Hypothesis with t - Error Variable, Sankhya: The Indian Journal of Statistics, Series B (1960-2002), 50(2), (1988), 175-180.
Theil, H., Principles of Econometrics, Vol. 1. Wiley, New York, 1971.
Zellner, A., Bayesian and non-Bayesian analysis of regression model with multivariate t-error terms, Journal of the American Statistical Association, 71, (1976), 400-405
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.