Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set
By using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set. In the classes of homogeneous and general linear estimators, the necessary and su...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2009-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2009/718927 |
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author | Shangli Zhang Gang Liu Wenhao Gui |
author_facet | Shangli Zhang Gang Liu Wenhao Gui |
author_sort | Shangli Zhang |
collection | DOAJ |
description | By using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set. In the classes of homogeneous and general linear estimators, the necessary and suffcient conditions that the estimators of regression coeffcient function are admissible are established. |
first_indexed | 2024-12-21T09:32:37Z |
format | Article |
id | doaj.art-5092401d2f0243bdbf653b4c4165cb24 |
institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-12-21T09:32:37Z |
publishDate | 2009-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-5092401d2f0243bdbf653b4c4165cb242022-12-21T19:08:42ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/718927Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter SetShangli ZhangGang LiuWenhao GuiBy using the methods of linear algebra and matrix inequality theory, we obtain the characterization of admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set. In the classes of homogeneous and general linear estimators, the necessary and suffcient conditions that the estimators of regression coeffcient function are admissible are established.http://dx.doi.org/10.1155/2009/718927 |
spellingShingle | Shangli Zhang Gang Liu Wenhao Gui Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set Journal of Inequalities and Applications |
title | Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set |
title_full | Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set |
title_fullStr | Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set |
title_full_unstemmed | Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set |
title_short | Admissible Estimators in the General Multivariate Linear Model with Respect to Inequality Restricted Parameter Set |
title_sort | admissible estimators in the general multivariate linear model with respect to inequality restricted parameter set |
url | http://dx.doi.org/10.1155/2009/718927 |
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