Title: The Topp-Leone-Harris-G family of distributions with applications

Authors: Broderick Oluyede; Neo Dingalo; Fastel Chipepa

Addresses: Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana ' Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana ' Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana

Abstract: In this paper, we present the Topp-Leone-Harris-G (TL-Harris-G) family of distributions. Some special cases, such as Topp-Leone-Harris-log-logistic (TL-Harris-LLoG), Topp-Leone-Harris-uniform (TL-Harris-U) and Topp-Leone-Harris-Weibull (TL-Harris-W) distributions are given. We examine some structural properties, such as moments, generating function, distribution of order statistics, entropy, and probability weighted moments (PWMs) of the new family of distributions. The maximum likelihood estimation method is used to estimate model parameters. To illustrate the consistency and efficiency of parameter estimations process, simulations are run, and real-world data sets are used to demonstrate the applicability of the proposed model. The proposed model proves to be a better alternative to some well known models.

Keywords: Topp-Leone-G distribution; Harris-G distribution; maximum likelihood estimation; simulation study; goodness-of-fit statistics.

DOI: 10.1504/IJMOR.2023.130166

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.4, pp.554 - 582

Received: 09 Nov 2021
Accepted: 16 Apr 2022
Published online: 05 Apr 2023 *

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