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The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications

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Abstract

We introduce a new class of distributions and provide a comprehensive treatment of its mathematical properties. The maximum likelihood method is discussed to estimate the parameters of the new model by means of Monte-Carlo simulation study. The heteroscedastic regression models with long-term survival are introduced to model data sets with the non homogeneity of the error variances in the presence of cured individuals. The potentiality of the proposed models is illustrated by means of four real data sets.

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Authors and Affiliations

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

    Morad Alizadeh & Fazlollah Lak

  2. Department of Statistics, Malayer University, Malayer, Iran

    Mahdi Rasekhi

  3. Department of Mathematics, Federal University of Tecnology Paraná, Apucarana, Brazil

    Thiago G. Ramires

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

    Haitham M. Yousof

  5. Department of Statistics, Hacettepe University, Ankara, Turkey

    Emrah Altun

Authors
  1. Morad Alizadeh
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  2. Fazlollah Lak
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  3. Mahdi Rasekhi
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  4. Thiago G. Ramires
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  5. Haitham M. Yousof
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  6. Emrah Altun
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Corresponding author

Correspondence to Mahdi Rasekhi.

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Alizadeh, M., Lak, F., Rasekhi, M. et al. The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications. Comput Stat 33, 1217–1244 (2018). https://doi.org/10.1007/s00180-017-0780-9

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  • DOI: https://doi.org/10.1007/s00180-017-0780-9

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