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Theoretical Structure and Applications of a Newly Enhanced Gumbel Type II Model

Author

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  • Showkat Ahmad Lone

    (Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia)

  • Tabassum Naz Sindhu

    (Department of Statistics, Quaid-i-Azam University, Islamabad 44000, Pakistan)

  • Marwa K. H. Hassan

    (Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt)

  • Tahani A. Abushal

    (Department of Mathematical Science, Faculty of Applied Science, Umm Al-Qura University, Makkah 24382, Saudi Arabia)

  • Sadia Anwar

    (Department of Mathematics, College of Arts and Sciences, Wadi Ad Dawasir, Prince Sattam Bin Abdul Aziz University, Al-Kharj 11991, Saudi Arabia)

  • Anum Shafiq

    (School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
    Jiangsu International Joint Laboratory on System Modeling and Data Analysis, Nanjing University of Information Science and Technology, Nanjing 210044, China)

Abstract

Statistical models are vital in data analysis, and researchers are always on the search for potential or the latest statistical models to fit data sets in a variety of domains. To create an improved statistical model, we used a T-X transformation and the Gumbel Type-II model in this investigation. The research examined a simulation evaluation to assess the efficacy of the parameters. To show the application of the T-X approach for producing new distributions titled the new and improved Gumbel Type-II (NIGT-II) distribution, two actual data sets were used. The data sets reveal that the NIGT-II distribution sounds nicer than the Gumbel Type-II distribution.

Suggested Citation

  • Showkat Ahmad Lone & Tabassum Naz Sindhu & Marwa K. H. Hassan & Tahani A. Abushal & Sadia Anwar & Anum Shafiq, 2023. "Theoretical Structure and Applications of a Newly Enhanced Gumbel Type II Model," Mathematics, MDPI, vol. 11(8), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1797-:d:1119961
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    References listed on IDEAS

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