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A mixture model of size-biased distributions

Author

Listed:
  • M. Kayid

    (King Saud University
    Suez University)

  • S. Izadkhah

    (Higher Education Complex of Bam)

  • J. Jarrahiferiz

    (Birjand Branch, Islamic Azad University)

  • P. Asghari

    (Ferdowsi University of Mashhad)

Abstract

In reliability and survival analysis, to model lifetime data, size-biased distributions are useful. In this paper, a mixture model of size-biased distributions is introduced and studied. Several reliability properties of this model are investigated. In addition, some implications of well-known stochastic orders and aging classes concerning the model are established. To underline the usefulness of the model, some examples of interest in reliability and statistics are given.

Suggested Citation

  • M. Kayid & S. Izadkhah & J. Jarrahiferiz & P. Asghari, 2016. "A mixture model of size-biased distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(5), pages 513-529, July.
    • Handle: RePEc:spr:metrik:v:79:y:2016:i:5:d:10.1007_s00184-015-0565-5
    DOI: 10.1007/s00184-015-0565-5
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    References listed on IDEAS

    as
    1. Bartoszewicz, Jaroslaw & Skolimowska, Magdalena, 2006. "Preservation of classes of life distributions and stochastic orders under weighting," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 587-596, March.
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