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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Language: | English |
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Frontiers Media S.A.
2023-10-01
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Series: | Frontiers in Applied Mathematics and Statistics |
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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. |
first_indexed | 2024-03-11T14:29:35Z |
format | Article |
id | doaj.art-d4cd2b0961174edf8063a08d90fe6784 |
institution | Directory Open Access Journal |
issn | 2297-4687 |
language | English |
last_indexed | 2024-03-11T14:29:35Z |
publishDate | 2023-10-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Applied Mathematics and Statistics |
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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