Log-Kumaraswamy distribution: its features and applications

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

doi:10.3389/fams.2023.1258961

Frontiers in Applied Mathematics and Statistics (Oct 2023)

Log-Kumaraswamy distribution: its features and applications

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

Affiliations

Aliyu Ismail Ishaq: Department of Statistics, Ahmadu Bello University, Zaria, Nigeria
Ahmad Abubakar Suleiman: Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia
Ahmad Abubakar Suleiman: Department of Statistics, Aliko Dangote University of Science and Technology, Wudil, Nigeria
Hanita Daud: Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia
Narinderjit Singh Sawaran Singh: Faculty of Data Science and Information Technology, INTI International University, Nilai, Negeri Sembilan, Malaysia
Mahmod Othman: Department of Information System, Universitas Islam Indragiri, Tembilahan, Indonesia
Rajalingam Sokkalingam: Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia
Pitchaya Wiratchotisatian: Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand
Abdullahi Garba Usman: Department of Analytical Chemistry, Faculty of Pharmacy, Near East University, Nicosia, Cyprus
Abdullahi Garba Usman: Operational Research Centre in Healthcare, Near East University, Nicosia, Cyprus
Sani Isah Abba: Interdisciplinary Research Center for Membrane and Water Security, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

DOI: https://doi.org/10.3389/fams.2023.1258961
Journal volume & issue: Vol. 9

Abstract

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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.

Published in Frontiers in Applied Mathematics and Statistics

ISSN: 2297-4687 (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Probabilities. Mathematical statistics
Website: http://journal.frontiersin.org/journal/applied-mathematics-and-statistics#

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