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REVISITING MULTIVARIATE LIKELIHOOD RATIO ORDERING RESULTS FOR ORDER STATISTICS

Published online by Cambridge University Press:  17 May 2011

Félix Belzunce ,
Selma Gurler  and
José M. Ruiz
Félix Belzunce
Affiliation:
Departmento de Estadística e Investigación Operativa, Universidad de Murcia, Facultad de Matemáticas, Campus de Espinardo, 30100 Espinardo (Murcia), Spain E-mail: belzunce@um.es
Selma Gurler
Affiliation:
Department of Statistics, Dokuz Eylul University, Faculty of Science, Tinaztepe Campus, 35160 Buca, Izmir, Turkey E-mail: selma.erdogan@deu.edu.tr
José M. Ruiz
Affiliation:
Departmento de Estadística e Investigación Operativa, Universidad de Murcia, Facultad de Matemáticas, Campus de Espinardo, 30100 Espinardo (Murcia), Spain E-mail: jmruizgo@um.es
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Abstract

In this article, we establish some results concerning the likelihood ratio order of random vectors of order statistics in the case of independent but not necessarily identically distributed observations and for the case of possible dependent observations. Applications of these results to provide comparisons of conditional order statistics are also given.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 25 , Issue 3 , July 2011 , pp. 355 - 368
Copyright
Copyright © Cambridge University Press 2011

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