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On properties of dependent progressively Type-II censored order statistics

Author

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  • M. Rezapour
  • M.H. Alamatsaz
  • N. Balakrishnan

Abstract

In the context of life-testing, 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 consider progressively Type-II censored order statistics (PCOS-II) arising from dependent units that are jointly distributed according to an Archimedean copula. Density and distribution functions of dependent general PCOS-II (GPCOS-II) are derived under this set-up. These results include those in Kamps and Cramer (Statistics 35:269–280, 2001 ) as special cases. Some bounds for the mean of PCOS-II from dependent data are then established. Finally, through an example, a special case of PCOS-II from $$N$$ dependent components is illustrated. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • M. Rezapour & M.H. Alamatsaz & N. Balakrishnan, 2013. "On properties of dependent progressively Type-II censored order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(7), pages 909-917, October.
    • Handle: RePEc:spr:metrik:v:76:y:2013:i:7:p:909-917
    DOI: 10.1007/s00184-012-0423-7
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    References listed on IDEAS

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    1. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    2. N. Balakrishnan & Erhard Cramer, 2008. "Progressive censoring from heterogeneous distributions with applications to robustness," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(1), pages 151-171, March.
    3. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
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    1. M. Razmkhah & S. Simriz, 2018. "Statistical inferences based on INID progressively type II censored order statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(3), pages 583-604, June.

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