Log-Kumaraswamy distribution: its features and applications

This article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, termed the log-Kumaraswamy distribution, could faithfully be employed to compete with bounded and u...

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Main Authors: Aliyu Ismail Ishaq, Ahmad Abubakar Suleiman, Hanita Daud, Narinderjit Singh Sawaran Singh, Mahmod Othman, Rajalingam Sokkalingam, Pitchaya Wiratchotisatian, Abdullahi Garba Usman, Sani Isah Abba
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-10-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2023.1258961/full
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author Aliyu Ismail Ishaq
Ahmad Abubakar Suleiman
Ahmad Abubakar Suleiman
Hanita Daud
Narinderjit Singh Sawaran Singh
Mahmod Othman
Rajalingam Sokkalingam
Pitchaya Wiratchotisatian
Abdullahi Garba Usman
Abdullahi Garba Usman
Sani Isah Abba
author_facet Aliyu Ismail Ishaq
Ahmad Abubakar Suleiman
Ahmad Abubakar Suleiman
Hanita Daud
Narinderjit Singh Sawaran Singh
Mahmod Othman
Rajalingam Sokkalingam
Pitchaya Wiratchotisatian
Abdullahi Garba Usman
Abdullahi Garba Usman
Sani Isah Abba
author_sort Aliyu Ismail Ishaq
collection DOAJ
description This article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, termed the log-Kumaraswamy distribution, could faithfully be employed to compete with bounded and unbounded random processes. Some essential features of this distribution were studied, and the parameters of its estimates were obtained based on the maximum product of spacing, least squares, and weighted least squares procedures. The new distribution was proven to be better than traditional models in terms of flexibility and applicability to real-life data sets.
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spelling doaj.art-d4cd2b0961174edf8063a08d90fe67842023-10-31T11:19:21ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872023-10-01910.3389/fams.2023.12589611258961Log-Kumaraswamy distribution: its features and applicationsAliyu Ismail Ishaq0Ahmad Abubakar Suleiman1Ahmad Abubakar Suleiman2Hanita Daud3Narinderjit Singh Sawaran Singh4Mahmod Othman5Rajalingam Sokkalingam6Pitchaya Wiratchotisatian7Abdullahi Garba Usman8Abdullahi Garba Usman9Sani Isah Abba10Department of Statistics, Ahmadu Bello University, Zaria, NigeriaFundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar, MalaysiaDepartment of Statistics, Aliko Dangote University of Science and Technology, Wudil, NigeriaFundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar, MalaysiaFaculty of Data Science and Information Technology, INTI International University, Nilai, Negeri Sembilan, MalaysiaDepartment of Information System, Universitas Islam Indragiri, Tembilahan, IndonesiaFundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar, MalaysiaDepartment of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen, ThailandDepartment of Analytical Chemistry, Faculty of Pharmacy, Near East University, Nicosia, CyprusOperational Research Centre in Healthcare, Near East University, Nicosia, CyprusInterdisciplinary Research Center for Membrane and Water Security, King Fahd University of Petroleum and Minerals, Dhahran, Saudi ArabiaThis article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, termed the log-Kumaraswamy distribution, could faithfully be employed to compete with bounded and unbounded random processes. Some essential features of this distribution were studied, and the parameters of its estimates were obtained based on the maximum product of spacing, least squares, and weighted least squares procedures. The new distribution was proven to be better than traditional models in terms of flexibility and applicability to real-life data sets.https://www.frontiersin.org/articles/10.3389/fams.2023.1258961/fullKumaraswamy distributionleast squaresmaximum product of spacingmortalityinfectious disease
spellingShingle Aliyu Ismail Ishaq
Ahmad Abubakar Suleiman
Ahmad Abubakar Suleiman
Hanita Daud
Narinderjit Singh Sawaran Singh
Mahmod Othman
Rajalingam Sokkalingam
Pitchaya Wiratchotisatian
Abdullahi Garba Usman
Abdullahi Garba Usman
Sani Isah Abba
Log-Kumaraswamy distribution: its features and applications
Frontiers in Applied Mathematics and Statistics
Kumaraswamy distribution
least squares
maximum product of spacing
mortality
infectious disease
title Log-Kumaraswamy distribution: its features and applications
title_full Log-Kumaraswamy distribution: its features and applications
title_fullStr Log-Kumaraswamy distribution: its features and applications
title_full_unstemmed Log-Kumaraswamy distribution: its features and applications
title_short Log-Kumaraswamy distribution: its features and applications
title_sort log kumaraswamy distribution its features and applications
topic Kumaraswamy distribution
least squares
maximum product of spacing
mortality
infectious disease
url https://www.frontiersin.org/articles/10.3389/fams.2023.1258961/full
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