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STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS

Published online by Cambridge University Press:  01 January 2005

Félix Belzunce ,
José-Angel Mercader  and
José-María Ruiz
Félix Belzunce
Affiliation:
Departmento Estadística e Investigación Operativa, Universidad de Murcia, 30100 Espinardo (Murcia), Spain, E-mail: belzunce@um.es; mercader@um.es; jmruizgo@um.es
José-Angel Mercader
Affiliation:
Departmento Estadística e Investigación Operativa, Universidad de Murcia, 30100 Espinardo (Murcia), Spain, E-mail: belzunce@um.es; mercader@um.es; jmruizgo@um.es
José-María Ruiz
Affiliation:
Departmento Estadística e Investigación Operativa, Universidad de Murcia, 30100 Espinardo (Murcia), Spain, E-mail: belzunce@um.es; mercader@um.es; jmruizgo@um.es
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Abstract

In this article, we give several results on (multivariate and univariate) stochastic comparisons of generalized order statistics. We give conditions on the underlying distributions and the parameters on which the generalized order statistics are based, to obtain stochastic comparisons in the stochastic, dispersive, hazard rate, and likelihood ratio orders. Our results generalize some recent results for order statistics, record values, and generalized order statistics and provide some new results for other models such as k-record values and order statistics under multivariate imperfect repair.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 1 , January 2005 , pp. 99 - 120
Copyright
© 2005 Cambridge University Press

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