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The odd log-logistic Lindley-G family of distributions: properties, Bayesian and non-Bayesian estimation with applications

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Abstract

In this paper, a new class of distributions called the odd log-logistic Lindley-G family is proposed. Several of its statistical and reliability properties are studied in-detail. One members of the proposed family can have symmetrical, right-skewed, leftt-skewed and reversed-J shaped densities, and decreasing, increasing, bathtub, unimodal and reversed-J shaped hazard rates. The model parameters are estimated using the maximum likelihood and Bayesian methods. Monte-Carlo simulation study is carried out to examine the bias and mean square error of maximum likelihood and Bayesian estimators. Finally, four real data sets are analyzed to show the flexibility of the new family.

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Authors and Affiliations

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

    Morad Alizadeh

  2. Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt

    Ahmed Z. Afify

  3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    M. S. Eliwa

  4. Department of Statistics, Quaid-i-Azam University, Islamabad, 45320, Pakistan

    Sajid Ali

Authors
  1. Morad Alizadeh
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  2. Ahmed Z. Afify
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  3. M. S. Eliwa
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  4. Sajid Ali
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Correspondence to M. S. Eliwa.

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Alizadeh, M., Afify, A.Z., Eliwa, M.S. et al. The odd log-logistic Lindley-G family of distributions: properties, Bayesian and non-Bayesian estimation with applications. Comput Stat 35, 281–308 (2020). https://doi.org/10.1007/s00180-019-00932-9

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  • DOI: https://doi.org/10.1007/s00180-019-00932-9

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