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

Authors

  • M. H. Alamatsaz Department of Statistics‎, ‎University of Isfahan,Isfahan‎, ‎Iran \newline‎ ‎Naghshejahan Institute of Higher Education‎, ‎Baharestan‎, ‎Isfahan‎, ‎Iran‎
  • M. Rezapour Department of Statistics‎. ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎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 undertest 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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Journal title

volume 41  issue 5

pages  1173- 1182

publication date 2015-10-01

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