Title: The exponentiated half logistic-Kumaraswamy-G family of distributions with properties and applications

Authors: Bakang Tlhaloganyang; Whatmore Sengweni; Broderick Oluyede

Addresses: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana ' Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana ' Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana

Abstract: In this paper, a new generalised family of lifetime models called the exponentiated half logistic-Kumaraswamy-G (EHL-KUM-G) distribution is introduced and studied. We derive explicit expressions for the structural properties which includes quantile function, linear representation, ordinary and incomplete moments, moment generating functions, Rényi entropy, order statistics and probability weighted moments. Special models were also presented together with the investigation of the shapes of their densities and hazard rate functions. Estimation of model parameters based on maximum likelihood estimation technique is also discussed and a simulation study is conducted to evaluate the consistency of maximum likelihood estimators. The potential usefulness of this new distribution is demonstrated by fitting exponentiated half logistic-Kumaraswamy-Weibull (EHL-KUM-W) distribution to two real datasets.

Keywords: exponentiated half logistic distribution; Kumaraswamy-G distribution; exponentiated half logistic-Kumaraswamy-Weibull distribution.

DOI: 10.1504/IJMOR.2023.132483

International Journal of Mathematics in Operational Research, 2023 Vol.25 No.3, pp.407 - 432

Received: 26 May 2022
Accepted: 28 May 2022
Published online: 24 Jul 2023 *

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