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Characterizations through reliability measures from weighted distributions

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Abstract

In this paper we obtain general characterizations of probability distributions from relationships between failure rate and mean residual life from the original distribution and associated weighted distribution. Our characterization properties extend particular results given by Gupta and Keating (1986), Jain et al. (1989) and Asadi (1998). Using the theoretical results we obtain characterizations of some usual distributions.

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Authors and Affiliations

  1. Dept. Estadística e I.O., Universidad Murcia, 30100, Murcia, Spain

    J. Navarro & J. M. Ruiz

  2. Dept. Estadistica y Matematica Aplicada, Universidad Almeria, 04120, Almeria, Spain

    Y. del Aguila

Authors
  1. J. Navarro
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  2. Y. del Aguila
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  3. J. M. Ruiz
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Supported by D.G.E.S. under Grant PB96/1105

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Navarro, J., Aguila, Y.d. & Ruiz, J.M. Characterizations through reliability measures from weighted distributions. Statistical Papers 42, 395–402 (2001). https://doi.org/10.1007/s003620100066

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  • DOI: https://doi.org/10.1007/s003620100066

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