Estimation in multiple regression model with elliptically contoured errors under MLINEX loss

Arashi, M. and Tabatabaey, S. M. M. and Khan, Shahjahan ORCID: https://orcid.org/0000-0002-0446-086X (2008) Estimation in multiple regression model with elliptically contoured errors under MLINEX loss. Journal of Applied Probability and Statistics, 3 (1). pp. 23-35. ISSN 1930-6792

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Abstract

This paper considers estimation of the regression vector of the multiple regression model with elliptically symmetric contoured errors. The generalized least square (GLS), restricted GLS and preliminary test (PT) estimators for regression parameter vector are obtained. The performances of the estimators are studied under multiparameter linear exponential loss function (MLINEX), and the dominance order of the estimators are given.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	© 2008 ISOSS Publications. Selected Papers from the 9th Islamic Countries Conference on Statistical Sciences (ICCS-IX). Deposited with blanket permission of publisher.
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited:	03 Sep 2008 04:25
Last Modified:	29 Oct 2014 23:30
Uncontrolled Keywords:	elliptically contoured distribution; GLS estimator; prelim- inary test estimator; MLINEX loss function; moment generating function
Fields of Research (2008):	01 Mathematical Sciences > 0104 Statistics > 010405 Statistical Theory 01 Mathematical Sciences > 0101 Pure Mathematics > 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra 01 Mathematical Sciences > 0101 Pure Mathematics > 010101 Algebra and Number Theory
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4905 Statistics > 490509 Statistical theory 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490407 Mathematical logic, set theory, lattices and universal algebra 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490401 Algebra and number theory
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI:	http://eprints.usq.edu.au/id/eprint/4367

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