Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 41, Issue 5 - Serial Number 5
October 2015
Pages 1173-1182

  • Receive Date 15 November 2013
  • Revise Date 17 July 2014
  • Accept Date 17 July 2014