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...

Full description

Bibliographic Details
Main Authors: Shangli Zhang, Gang Liu, Wenhao Gui
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/718927
_version_ 1819041918048272384
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
work_keys_str_mv AT shanglizhang admissibleestimatorsinthegeneralmultivariatelinearmodelwithrespecttoinequalityrestrictedparameterset
AT gangliu admissibleestimatorsinthegeneralmultivariatelinearmodelwithrespecttoinequalityrestrictedparameterset
AT wenhaogui admissibleestimatorsinthegeneralmultivariatelinearmodelwithrespecttoinequalityrestrictedparameterset