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Reflected Generalized Beta Inverse Weibull Distribution: definition and properties

Author

Listed:
  • Ibrahim Elbatal

    (Cairo University)

  • Francesca Condino

    (University of Calabria)

  • Filippo Domma

    (University of Calabria)

Abstract

In this paper, we study a broad class of distribution functions which is defined by means of reflected generalized beta distribution. This class includes that of Beta-generated distribution as a special case. In particular, we use this class to extend the Inverse Weibull distribution in order to obtain the Reflected Generalized Beta Inverse Weibull Distribution. For this new distribution, moments, entropy and a reliability measure are derived. The link between the Inverse Weibull and the Dagum distribution is generalized. Then the maximum likelihood estimators of the parameters are examined and the observed Fisher information matrix provided. Finally, the usefulness of the model is illustrated by means of two applications to real data.

Suggested Citation

  • Ibrahim Elbatal & Francesca Condino & Filippo Domma, 2016. "Reflected Generalized Beta Inverse Weibull Distribution: definition and properties," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 78(2), pages 316-340, November.
    • Handle: RePEc:spr:sankhb:v:78:y:2016:i:2:d:10.1007_s13571-015-0114-2
    DOI: 10.1007/s13571-015-0114-2
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    References listed on IDEAS

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    Cited by:

    1. C. Satheesh Kumar & Subha R. Nair, 2021. "A generalization to the log-inverse Weibull distribution and its applications in cancer research," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-30, December.

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