Title: The Ristić-Balakrishnan-exponentiated half logistic-G family of distributions with applications

Authors: Broderick Oluyede; Kethamile Rannona

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

Abstract: In this paper, we introduce a new family of distributions called the Ristić-Balakrishnan-exponentiated half logistic-G (RB-EHL-G) family of distributions. Statistical properties of the new family including hazard function, quantile function, moments, distribution of the order statistics and Rényi entropy are derived. Some special cases of the new family are presented. The maximum likelihood estimation technique is used to estimate the model parameters. A Monte Carlo simulation study is conducted in order to examine the bias and mean square error of the maximum likelihood estimators. Finally, the new family is applied to real life datasets to illustrate the usefulness of the proposed distribution.

Keywords: Ristić and Balakrishan-G distribution; exponentiated half logistic-G distribution; maximum likelihood estimation.

DOI: 10.1504/IJMOR.2025.148081

International Journal of Mathematics in Operational Research, 2025 Vol.31 No.4, pp.518 - 543

Received: 05 Nov 2023
Accepted: 27 Nov 2023
Published online: 25 Aug 2025 *

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