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The Generalized Burr XII Power Series Distributions with Properties and Applications

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Abstract

We define and study a new family of distributions, called generalized Burr XII power series class, by compounding the generalized Burr XII and power series distributions. Several properties of the new family are derived. The maximum likelihood estimation method is used to estimate the model parameters. The importance and potentiality of the new family are illustrated by means of three applications to real data sets.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Imam Muhammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

    Ibrahim Elbatal

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

    Emrah Altun

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

    Ahmed Z. Afify

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

    Gamze Ozel

Authors
  1. Ibrahim Elbatal
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  2. Emrah Altun
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  3. Ahmed Z. Afify
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  4. Gamze Ozel
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Corresponding author

Correspondence to Emrah Altun.

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Elbatal, I., Altun, E., Afify, A.Z. et al. The Generalized Burr XII Power Series Distributions with Properties and Applications. Ann. Data. Sci. 6, 571–597 (2019). https://doi.org/10.1007/s40745-018-0171-2

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  • DOI: https://doi.org/10.1007/s40745-018-0171-2

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