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A New Power Topp–Leone distribution with applications to engineering and industry data

Author

Listed:
  • Mintodê Nicodème Atchadé
  • Melchior N’bouké
  • Aliou Moussa Djibril
  • Shabnam Shahzadi
  • Eslam Hussam
  • Ramy Aldallal
  • Huda M Alshanbari
  • Ahmed M Gemeay
  • Abdal-Aziz H El-Bagoury

Abstract

We introduced a brand-new member of the family that is going to be referred to as the New Power Topp-Leone Generated (NPTL-G). This new member is one of a kind. Given the major functions that created this new member, important mathematical aspects are discussed in as much detail as possible. We derived some functions for the new one, included the Rényi entropy, the qf, series development, and moment weighted probabilities. Moreover, to estimate the values of the parameters of our model that were not known, we employed the maximum likelihood technique. In addition, two actual datasets from the real world were investigated in order to bring attention to the possible applications of this novel distribution. This new model performs better than three key rivals based on the measurements that were collected.

Suggested Citation

  • Mintodê Nicodème Atchadé & Melchior N’bouké & Aliou Moussa Djibril & Shabnam Shahzadi & Eslam Hussam & Ramy Aldallal & Huda M Alshanbari & Ahmed M Gemeay & Abdal-Aziz H El-Bagoury, 2023. "A New Power Topp–Leone distribution with applications to engineering and industry data," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-18, January.
    • Handle: RePEc:plo:pone00:0278225
    DOI: 10.1371/journal.pone.0278225
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    References listed on IDEAS

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    1. S. M. T. K. MirMostafaee & M. Mahdizadeh & Artur J. Lemonte, 2017. "The Marshall–Olkin extended generalized Rayleigh distribution: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(2), pages 653-671, January.
    2. Hesham Reyad & Mustafa Ç. Korkmaz & Ahmed Z. Afify & G. G. Hamedani & Soha Othman, 2021. "The Fréchet Topp Leone-G Family of Distributions: Properties, Characterizations and Applications," Annals of Data Science, Springer, vol. 8(2), pages 345-366, June.
    3. Muhammad H Tahir & Gauss M. Cordeiro, 2016. "Compounding of distributions: a survey and new generalized classes," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-35, December.
    4. M. Mahdizadeh & Ehsan Zamanzade, 2022. "New insights on goodness-of-fit tests for ranked set samples," Statistical Papers, Springer, vol. 63(6), pages 1777-1799, December.
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