On properties of dependent general progressively type-II censored order statistics

Document Type : Research Paper

Authors

1 Department of Statistics‎. ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran

2 Department of Statistics‎, ‎University of Isfahan,Isfahan‎, ‎Iran \newline‎ ‎Naghshejahan Institute of Higher Education‎, ‎Baharestan‎, ‎Isfahan‎, ‎Iran‎

Abstract

In the literature of life-testing, general progressive censoring has been studied extensively. But, all the results have been developed under the key assumption that the units under
test are independently distributed. In this paper, we study general progressively Type-II censored order statistics arising from identical units under test which are jointly distributed according to an Archimedean copula with completely monotone generator (GPCOSARCM-II). Density, distribution and joint density functions of GPCOSARCM-II are all derived. Finally, some examples of GPCOSARCM-II are provided.

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Bulletin of the Iranian Mathematical Society
Volume 41, Issue 5 - Serial Number 5
October 2015
Pages 1173-1182

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History

  • Receive Date: 15 November 2013
  • Revise Date: 17 July 2014
  • Accept Date: 17 July 2014
  • First Publish Date: 01 October 2015

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