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On characterizations of distributions by expected values of order statistics and record values with gap

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Abstract

In this paper, we obtain some recurrence relationships for conditional expectations of nonadjacent order statistics and record values when the distribution function is absolutely continuous, and we prove that the distribution function is uniquely determined by the distribution of conditioned record values and by the expected values of these records. Further, different distributions are characterized by these relationships.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, Apdo. 4021, 30071, Murcia, Spain

    Manuel Franco & Jose M. Ruiz

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  1. Manuel Franco
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  2. Jose M. Ruiz
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Franco, M., Ruiz, J.M. On characterizations of distributions by expected values of order statistics and record values with gap. Metrika 45, 107–119 (1997). https://doi.org/10.1007/BF02717097

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  • DOI: https://doi.org/10.1007/BF02717097

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