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Conditional distributions of generalized order statistics and some characterizations

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Abstract.

Generalized order statistics have been introduced in Kamps (1995a). They enable a unified approach to several models of ordered random variables, e.g. (ordinary) order statistics, record values, sequential order statistics, record values from non-identical distributions. The purpose of this paper is to develop conditional distributions of one generalized order statistic given another and to characterize the underlying continuous distribution by different conditional expectations. Well-known results for ordinary order statistics and record values are extended to generalized order statistics.

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Authors and Affiliations

  1. Institute of Statistics, Aachen University of Technology, Wüllnerstr. 3, D-52056 Aachen, Germany (e-mail: c.keseling@stochastik.rwth-aachen.de), , , , , , DE

    Claudia Keseling

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  1. Claudia Keseling
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Received: July 1997

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Keseling, C. Conditional distributions of generalized order statistics and some characterizations. Metrika 49, 27–40 (1999). https://doi.org/10.1007/s001840050023

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  • DOI: https://doi.org/10.1007/s001840050023

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