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The exponentiated generalized power Lindley distribution: Properties and applications

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Abstract

In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of the density and hazard rate functions, the quantile function, moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived. Moreover, we discuss the parameter estimation of the new distribution using the maximum likelihood and diagonally weighted least squares methods. A simulation study is performed to evaluate the estimators. We use two real data sets to illustrate the applicability of the new model. Empirical findings show that the proposed model provides better fits than some other well-known extensions of Lindley distributions.

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Acknowledgements

We would like to thank the referee for the valuable comments which led to this improved version of our manuscript.

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Authors and Affiliations

  1. Department of Statistics, University of Mazandaran, 47416-1467, Babolsar, Iran

    S.M.T.K. MirMostafaee

  2. Department of Statistics, Persian Gulf University, Bushehr, 75169, Iran

    Morad Alizadeh

  3. Department of Statistics, Bartin University, Bartin, 74100, Turkey

    Emrah Altun

  4. School of Mathematics, University of Manchester, Manchester, M13 9PL, UK

    Saralees Nadarajah

Authors
  1. S.M.T.K. MirMostafaee
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  2. Morad Alizadeh
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  3. Emrah Altun
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  4. Saralees Nadarajah
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Correspondence to S.M.T.K. MirMostafaee.

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MirMostafaee, S., Alizadeh, M., Altun, E. et al. The exponentiated generalized power Lindley distribution: Properties and applications. Appl. Math. J. Chin. Univ. 34, 127–148 (2019). https://doi.org/10.1007/s11766-019-3515-6

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  • DOI: https://doi.org/10.1007/s11766-019-3515-6

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