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

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Abstract

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.

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Acknowledgments

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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Authors and Affiliations

  1. U.F.R. Sciences et Techniques, Université du Havre, B.P. 540, 76058 , Le Havre Cedex, France

    Alexandre Berred

  2. Immanuel Kant Baltic Federal University, A. Nevskogo 14, 236041 , Kaliningrad, Russia

    Alexei Stepanov

Authors
  1. Alexandre Berred
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  2. Alexei Stepanov
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Correspondence to Alexandre Berred.

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Berred, A., Stepanov, A. Asymptotic properties of the number of near minimum-concomitant observations in the case of progressive type-II censoring. Metrika 78, 283–294 (2015). https://doi.org/10.1007/s00184-014-0502-z

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  • DOI: https://doi.org/10.1007/s00184-014-0502-z

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