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2022 | 14 | nr 4 | 415--461
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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. (original abstract)
Rocznik
Tom
14
Numer
Strony
415--461
Opis fizyczny
Twórcy
  • Botswana International University of Science & Technology, Palapye, Botswana
  • Botswana International University of Science & Technology, Palapye, Botswana
Bibliografia
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  • [3] Alizadeh M., Cordeiro G. M., Pinho L. G. B., Ghosh I., (2017), The Gompertz-G Family of Distributions, Journal of Statistical Theory and Practice 11(1), 179207.
  • [4] Al-Babtain A. A., Elbatal I., Chesneau C., Elgarhy M., (2020), Sine Topp-Leone-G Family of Distributions: Theory and applications, Open Physics 18(1), 574593.
  • [5] Al-Babtain A. A., Elbatal I., Al-Mofleh H., Gemeay A. M., Afify A. Z., Sarg A. M., (2021), The Flexible Burr X-G Family: Properties, Inference, and Applications in the Engineering Science, Symmetry 13, 474.
  • [6] Aldahlan M., Afify A. Z., (2018), The Odd Exponentiated Half-Logistic Burr XII Distribution, Pakistan Journal of Statistics and Operation Research 14(2), 305-317
  • [7] Al-Marzouki S., Jamal F., Chesneau C., Elgarhy M., (2020), Topp-Leone Odd Fréchet Generated Family of Distributions with Applications to Covid-19 Datasets, Computational Modelling in Engineering and Sciences 125, 437-458.
  • [8] Al-Mofleh H., Elgarhy M., Afify A., Zannon M., (2020), Type II Exponentiated Half Logistic Generated Family of Distributions with Applications, Electronic Journal of Applied Statistical Analysis 13(2), 536-561.
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  • [23] Oluyede B., Chipepa F., Wanduku D., (2020), The Exponentiated Half Logistic-Power Generalized Weibull-G Family of Distributions: Model, Properties and Applications, Eurasian Bulletin of Mathematics 3(3), 134-161.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171664943

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