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Pitman closeness of \(k\)-records from two sequences to progressive Type-II censored order statistics

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Abstract

In this paper, we consider two independent \(k\)-record sequences with the same distribution. We determine the closeness probability of \(k\)-record values to a specific progressive Type-II censored order statistic. With this in mind, we first derive the exact expression for the Pitman closeness of records in general, and some special properties of the closeness probability are presented. Then, we apply the obtained results for the standard uniform and exponential distributions and exact expressions for the Pitman closeness are obtained. Finally, numerical results are displayed in figures.

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Acknowledgments

The authors would like to thank the Associate Editor and the referees for their constructive comments and suggestions which led to an improved version of this manuscript.

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Authors and Affiliations

  1. Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, P. O. Box 1159, 91775 , Mashhad, Iran

    Elham Mirfarah & Jafar Ahmadi

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  1. Elham Mirfarah
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  2. Jafar Ahmadi
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Correspondence to Elham Mirfarah.

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Mirfarah, E., Ahmadi, J. Pitman closeness of \(k\)-records from two sequences to progressive Type-II censored order statistics. Comput Stat 29, 1279–1300 (2014). https://doi.org/10.1007/s00180-014-0491-4

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  • DOI: https://doi.org/10.1007/s00180-014-0491-4

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