Estimation of parameters of the simple multivariate linear model with student t-errors
Article
Article Title | Estimation of parameters of the simple multivariate linear model with student t-errors |
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ERA Journal ID | 900 |
Article Category | Article |
Authors | |
Author | Khan, Shahjahan |
Journal Title | Journal of Statistical Research |
Journal Citation | 39 (2), pp. 79-94 |
Number of Pages | 16 |
Year | 2005 |
Publisher | University of Dhaka |
Place of Publication | Bangladesh |
ISSN | 0020-3165 |
0256-422X | |
Web Address (URL) | http://jsr.isrt.ac.bd/article/estimation-parameters-simple-multivariate-linear-model-student-t-errors/ |
Abstract | This paper considers estimation of the intercept and slope vector parameters of the simple multivariate linear regression model with Student-t errors in the presence of uncertain prior information on the value of the unknown slope vector. The unrestricted, restricted, preliminary test, shrinkage, and positive-rule shrinkage estimators are defined together with the expressions for the bias, quadratic bias, quadratic risk and mean squared errors (mse) functions of the estimators are derived. Comparison of the estimators is made using quadratic risk criterion. Based on the study we conclude that for p ≥ 3 shrinkage estimators are recommended, and for p ≤ 2, the preliminary test estimators are preferable. |
Keywords | multivariate regression model; student-t errors; unrestricted; restricted; preliminary test; shrinkage and positive-rule shrinkage estimators; bias; quadratic risk; mean squared error and relative efficiency |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 490509. Statistical theory |
Byline Affiliations | Department of Mathematics and Computing |
https://research.usq.edu.au/item/9xw7z/estimation-of-parameters-of-the-simple-multivariate-linear-model-with-student-t-errors
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