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Regressions for sums of squares of spacings

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Abstract

Starting with a new formula for the regression of sum of squares of spacings (SSS) with respect to the maximum we present a characterization of a family of beta type mixtures in terms of the constancy of regression of normalized SSS of order statistics. Related characterization for records describes a family of minima of independent Weibull distributions.

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Authors and Affiliations

  1. Department of Mathematics, Northern Iowa University, 50614-0506, Cedar Falls, IA, USA

    S. Kirmani

  2. Wydziat Matematyki i Nauk Informacyjnych, Politechnika Warszawska, 00-661, Warszawa, Poland

    J. Wesolowski

Authors
  1. S. Kirmani
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  2. J. Wesolowski
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Kirmani, S., Wesolowski, J. Regressions for sums of squares of spacings. Ann Inst Stat Math 57, 39–47 (2005). https://doi.org/10.1007/BF02506877

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  • DOI: https://doi.org/10.1007/BF02506877

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