, Volume 78, Issue 3, pp 283–294 | Cite as

Asymptotic properties of the number of near minimum-concomitant observations in the case of progressive type-II censoring

  • Alexandre BerredEmail author
  • Alexei Stepanov


In this paper, we study the number of near minimum-concomitant observations for Progressively Type-II Censored Order Statistics (PCOS). We first define the concomitants of PCOS and the number of near minimum-concomitant observations. We then investigate distributional and asymptotic properties of these random variables. Finally, we propose simulation techniques for generating the concomitants of PCOS.


Progressive type-II censoring Order statistics Concomitants of order statistics Near minimum-concomitants 

Mathematics Subject Classification (2000)

60G70 62G30 



The second author’s work is done within the scienticfic task N 2014/60/2077 “Mathematical Theory of Extreme Values” financed from the federal budget by the ministry of education of Russian Federation.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.U.F.R. Sciences et TechniquesUniversité du HavreLe Havre CedexFrance
  2. 2.Immanuel Kant Baltic Federal UniversityKaliningradRussia

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