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

Broderick Oluyede () and Thatayaone Moakofi
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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

Stats, 2023, vol. 6, issue 2, 1-28

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.

Keywords: gamma generator; Topp-Leone distribution; type II distribution; exponentiated-G distribution; half logistic distribution; likelihood function; goodness-of-fit statistics (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2023
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