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A mixture model of size-biased distributions

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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.

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Acknowledgments

The authors are grateful to two anonymous referees for making some useful comments on an earlier version of this manuscript. The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for funding this Research Group No (RG-1435-036).

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Author notes

  1. M. Kayid

    Present address: Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez, 41522, Egypt

Authors and Affiliations

  1. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia

    M. Kayid

  2. Department of Statistics, Faculty of Mathematics and Computing, Higher Education Complex of Bam, Bam, Kerman, Iran

    S. Izadkhah

  3. Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran

    J. Jarrahiferiz

  4. Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

    P. Asghari

Authors
  1. M. Kayid
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  2. S. Izadkhah
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  3. J. Jarrahiferiz
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  4. P. Asghari
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Correspondence to M. Kayid.

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Kayid, M., Izadkhah, S., Jarrahiferiz, J. et al. A mixture model of size-biased distributions. Metrika 79, 513–529 (2016). https://doi.org/10.1007/s00184-015-0565-5

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  • DOI: https://doi.org/10.1007/s00184-015-0565-5

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