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UNIVARIATE AND MULTIVARIATE LIKELIHOOD RATIO ORDERING OF GENERALIZED ORDER STATISTICS AND ASSOCIATED CONDITIONAL VARIABLES

Published online by Cambridge University Press:  23 April 2010

Narayanaswamy Balakrishnan ,
Félix Belzunce ,
Nasrin Hami  and
Baha-Eldin Khaledi
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, CanadaL8S 4K1 E-mail: bala@mcmaster.ca
Félix Belzunce
Affiliation:
Dpto. Estadística e Investigación Operativa, Universidad de Murcia, Facultad de Matemáticas, Campus de Espinardo, 30100 Espinardo (Murcia), SpainE-mail: belzunce@um.es
Nasrin Hami
Affiliation:
Department of Statistics, Razi University, Kermanshah, IranE-mail: n_hami702@yahoo.com, bkhaledi@hotmail.com
Baha-Eldin Khaledi
Affiliation:
Department of Statistics, Razi University, Kermanshah, IranE-mail: n_hami702@yahoo.com, bkhaledi@hotmail.com
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Abstract

In this article, we establish some results concerning the univariate and multivariate likelihood ratio order of generalized order statistics and the special case of m-generalized order statistics and their associated conditional variables. These results, in addition to being new, also generalizes some of the known results in the literature. Finally, some applications of all these results are indicated.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 24 , Issue 3 , July 2010 , pp. 441 - 455
Copyright
Copyright © Cambridge University Press 2010

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