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ON STOCHASTIC AND AGING PROPERTIES OF GENERALIZED ORDER STATISTICS

Published online by Cambridge University Press:  31 March 2011

Mahdi Tavangar  and
Majid Asadi
Mahdi Tavangar
Affiliation:
Department of Statistics, University of Isfahan, Isfahan, 81744, Iran E-mails: m.tavangar@stat.ui.ac.ir; m.asadi@stat.ui.ac.ir
Majid Asadi
Affiliation:
Department of Statistics, University of Isfahan, Isfahan, 81744, Iran E-mails: m.tavangar@stat.ui.ac.ir; m.asadi@stat.ui.ac.ir
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Abstract

The generalized order statistics (GOS) model is a unified model that contains the well-known ordered random data such as order statistics and record values. In the present article, we investigate some stochastic ordering results and aging properties of the conditional GOS. The results of the article subsume some of the existing results, which recently are obtained in the literature, on conditional GOS. In particular, our results hold for the model of progressively type II right censored order statistics without any restriction on the censoring scheme.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 25 , Issue 2 , April 2011 , pp. 187 - 204
Copyright
Copyright © Cambridge University Press 2011

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