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

Author

Listed:
  • Broderick Oluyede

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

  • Thatayaone Moakofi

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

Abstract

The purpose of this paper is to introduce and study a new generated family of distributions based on the type II transformation which is called the type II exponentiated half-logistic-Gompertz-Topp-Leone-G (TIIEHL-Gom-TL-G) family of distributions. We investigate its general mathematical properties, including, hazard rate function, quantile function, moments, moment generating function, Rényi entropy and order statistics. Parameter estimates of the new family of distributions are obtained based on the maximum likelihood estimation method and their performance is evaluated via a simulation study. For illustration of the applicability of the new family of distributions, four real data sets are analyzed.

Suggested Citation

  • 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.
    • Handle: RePEc:psc:journl:v:14:y:2022:i:4:p:415-461
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    References listed on IDEAS

    as
    1. El-Sayed A. El-Sherpieny & Mamhoud M. Elsehetry, 2019. "Type II Kumaraswamy Half Logistic Family of Distributions with Applications to Exponential Model," Annals of Data Science, Springer, vol. 6(1), pages 1-20, March.
    2. Zubair Ahmad, 2020. "The Zubair-G Family of Distributions: Properties and Applications," Annals of Data Science, Springer, vol. 7(2), pages 195-208, June.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    exponentiated half-logistic; Topp-Leone distribution; Gompertz distribution; maximum likelihood estimation;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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