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Rezapour, M., Alamatsaz, M. (2015). On properties of dependent general progressively type-II censored order statistics. Bulletin of the Iranian Mathematical Society, 41(5), 1173-1182.
M. Rezapour; M. H. Alamatsaz. "On properties of dependent general progressively type-II censored order statistics". Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1173-1182.
Rezapour, M., Alamatsaz, M. (2015). 'On properties of dependent general progressively type-II censored order statistics', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1173-1182.
Rezapour, M., Alamatsaz, M. On properties of dependent general progressively type-II censored order statistics. Bulletin of the Iranian Mathematical Society, 2015; 41(5): 1173-1182.

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

Article 11, Volume 41, Issue 5, October 2015, Page 1173-1182  XML PDF (145 K)
Document Type: Research Paper
Authors
M. Rezapour1; M. H. Alamatsaz 2
1Department of Statistics‎. ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran
2Department of Statistics‎, ‎University of Isfahan,Isfahan‎, ‎Iran newline‎ ‎Naghshejahan Institute of Higher Education‎, ‎Baharestan‎, ‎Isfahan‎, ‎Iran‎
Receive Date: 15 November 2013,  Revise Date: 17 July 2014,  Accept Date: 17 July 2014 
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
Stochastic ordering; Archimedean copula; order statistics; general progressive censoring; reliability systems
Main Subjects
60-XX Probability theory and stochastic processes
Statistics
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PDF Download: 1,141
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