eprintid: 20162
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/02/01/62
datestamp: 2024-06-04 14:19:54
lastmod: 2024-06-04 14:19:54
status_changed: 2024-06-04 14:16:44
type: article
metadata_visibility: show
creators_name: Ishaq, A.I.
creators_name: Panitanarak, U.
creators_name: Abiodun, A.A.
creators_name: Suleiman, A.A.
creators_name: Daud, H.
title: The Generalized Odd Maxwell-Kumaraswamy Distribution: Its Properties and Applications
ispublished: pub
note: cited By 0
abstract: This study introduces a novel family of continuous probability distributions using Alzaatreh's technique to explore the Generalized Odd Maxwell-Generated (GOM-G) distribution family. Within the Generalized Odd Maxwell family, the GOM-Kumaraswamy distribution is presented as extended form of the Kumaraswamy distribution. The investigation thoroughly examines the cumulative distribution function, probability density function, hazard, and survival functions, as well as mixture representations of the Generalized Odd Maxwell-Kumaraswamy distribution. The suggested distribution's structural properties, including moments, skewness, kurtosis, probability-weighted moments, entropies, stress-strength models, and order statistics, are derived. Model parameters are estimated through the maximum likelihood method, and simulation studies evaluate the performance of maximum likelihood estimations using the quantile function. Employing two real-life datasets, goodness-of-fit measures such as Akaike Information Criterion (AIC), Corrected Akaike Information Criterion, Bayesian Information Criterion (BIC), Hannan-Quinn Information Criterion (HQIC), and chi-square goodness-of-fit tests demonstrate the adaptability and flexibility of the GOM-Kumaraswamy distribution against competing distributions, including Kumaraswamy-Kumaraswamy and Kumaraswamy-Burr III. The results reveal that the GOM-Kumaraswamy distribution exhibits the lowest AIC, CAIC, BIC, and HQIC values and the highest goodness-of-fit values compared to other models, suggesting its superiority as the preferred fit for both dataset forms. This proposed distribution contributes to practical applications, unveiling its potential significance in modeling real-world phenomena within the domains of hydrology and engineering. © 2024 Aliyu Ismail Ishaq, et al.
date: 2024
publisher: Universal Wiser Publisher
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185973899&doi=10.37256%2fcm.5120242888&partnerID=40&md5=50560ca228b11ff8bf65cd91b129d59b
id_number: 10.37256/cm.5120242888
full_text_status: none
publication: Contemporary Mathematics (Singapore)
volume: 5
number: 1
pagerange: 711-742
refereed: TRUE
issn: 27051064
citation:   Ishaq, A.I. and Panitanarak, U. and Abiodun, A.A. and Suleiman, A.A. and Daud, H.  (2024) The Generalized Odd Maxwell-Kumaraswamy Distribution: Its Properties and Applications.  Contemporary Mathematics (Singapore), 5 (1).  pp. 711-742.  ISSN 27051064