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Discrete distributions for which the regression of the first record on the second is linear

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Abstract

The linearity of regression of the first record on the second is examined for discrete random variables. Both ordinary and weak records are considered. The analysis involves the determination of all possible linear relationships and all possible probability distributions. Several characterizations of geometric distributions are also shown.

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Authors and Affiliations

  1. Departmento de Estadística e Investigación Operativa, Universidad de Sevilla, Sevilla, Spain, Spain

    Fernando López-Blázquez

  2. Wydział Matematyki i Nauk Informacyjnych, Politechnika Warszawska, Poland

    Jack Wesołowski

Authors
  1. Fernando López-Blázquez
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  2. Jack Wesołowski
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Correspondence to Fernando López-Blázquez.

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López-Blázquez, F., Wesołowski, J. Discrete distributions for which the regression of the first record on the second is linear. Test 10, 121–131 (2001). https://doi.org/10.1007/BF02595827

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  • DOI: https://doi.org/10.1007/BF02595827

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