Title: The new family of Ristić-Balakhrishnan Marshall Olkin-G distributions with properties and applications

Authors: Peter O. Peter; Broderick Oluyede; Nkumbuludzi Ndwapi; Onkabetse Mabikwa; Huybrechts F. Bindele

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 ' Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana ' Department of Mathematics and Statistics, University of South Alabama, USA

Abstract: In this paper, we develop and study in detail a new family of distributions called Ristić-Balakhrishnan Marshall Olkin-G (RBMO-G) distribution. We obtain some mathematical and statistical properties of this distribution such as hazard and reverse hazard functions, quantile function, moments and incomplete moments, moment generating functions, Rényi entropy and order statistics. The model parameters are obtained through method of maximum likelihood. We finally illustrate the usefulness of this family of distributions via simulation experiments. Furthermore, we apply a special case of this family of distributions to some real data to assess and compare its performance with other non-nested models.

Keywords: Ristić-Balakhrishnan; Marshall-Olkin; distributions; moments; maximum likelihood; simulations.

DOI: 10.1504/IJMOR.2022.124135

International Journal of Mathematics in Operational Research, 2022 Vol.22 No.3, pp.283 - 312

Received: 07 Aug 2020
Accepted: 15 May 2021
Published online: 14 Jul 2022 *

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