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The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications

Author

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  • Broderick Oluyede

    (Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye 10071, Botswana)

  • Thatayaone Moakofi

    (Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye 10071, Botswana)

Abstract

The new Ristić and Balakhrisnan or Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G (RB-TL-TII-EHL-G) family of distributions is introduced and investigated in this paper. This work derives and studies some of the main statistical characteristics of this new family of distributions. The maximum likelihood estimation technique is used to estimate the model parameters, and a simulation study is used to assess the consistency of the estimators. Applications to three real-life datasets from various fields show the value and adaptability of the new RB-TL-TII-EHL-G family of distributions. From our results, it is evident that the new proposed distribution is flexible enough to characterize datasets from different fields compared to several other existing distributions in the literature.

Suggested Citation

  • Broderick Oluyede & Thatayaone Moakofi, 2023. "The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications," Stats, MDPI, vol. 6(2), pages 1-28, June.
    • Handle: RePEc:gam:jstats:v:6:y:2023:i:2:p:45-733:d:1174657
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    References listed on IDEAS

    as
    1. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    2. Ahmed Z. Afify & Gauss M. Cordeiro & Edwin M. M. Ortega & Haitham M. Yousof & Nadeem Shafique Butt, 2018. "The four-parameter Burr XII distribution: Properties, regression model, and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(11), pages 2605-2624, June.
    3. Broderick Oluyede & Thatayaone Moakofi, 2022. "Type II Exponentiated Half-Logistic-Gompertz Topp-Leone-G Family of Distributions with Applications," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 14(4), pages 225-262, December.
    4. Amal S. Hassan & Said G. Nassr, 2019. "Power Lindley-G Family of Distributions," Annals of Data Science, Springer, vol. 6(2), pages 189-210, June.
    5. Rana Muhammad Imran Arshad & Muhammad Hussain Tahir & Christophe Chesneau & Farrukh Jamal, 2020. "The Gamma Kumaraswamy-G family of distributions: theory, inference and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(5), pages 17-40, December.
    6. Zubair Ahmad & Eisa Mahmoudi & Morad Alizadeh & Rasool Roozegar & Ahmed Z. Afify & Markos Koutras, 2021. "The Exponential T-X Family of Distributions: Properties and an Application to Insurance Data," Journal of Mathematics, Hindawi, vol. 2021, pages 1-18, May.
    7. Adam Braima S. Mastor & Abdulaziz S. Alghamdi & Oscar Ngesa & Joseph Mung’atu & Christophe Chesneau & Ahmed Z. Afify, 2023. "The Extended Exponential-Weibull Accelerated Failure Time Model with Application to Sudan COVID-19 Data," Mathematics, MDPI, vol. 11(2), pages 1-26, January.
    8. Fastel Chipepa & Broderick Oluyede & Boikanyo Makubate, 2020. "The Topp-Leone Marshall-Olkin-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(4), pages 1-15, July.
    9. M. Elgarhy & Muhammad Ahsan Haq & Ismat Perveen, 2019. "Type II Half Logistic Exponential Distribution with Applications," Annals of Data Science, Springer, vol. 6(2), pages 245-257, June.
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