Log-Kumaraswamy distribution: its features and applications

Aliyu Ismail Ishaq; Ahmad Abubakar Suleiman; Hanita Daud; Narinderjit Singh Sawaran Singh; Mahmod Othman; Rajalingam Sokkalingam; Pitchaya Wiratchotisatian; Abdullahi Garba Usman; Sani Isah Abba

doi:10.3389/fams.2023.1258961

Log-Kumaraswamy distribution: its features and applications

Aliyu Ismail Ishaq^*
, Ahmad Abubakar Suleiman
, Hanita Daud^*
, Narinderjit Singh Sawaran Singh
, Mahmod Othman
, Rajalingam Sokkalingam
, Pitchaya Wiratchotisatian
, Abdullahi Garba Usman
, Sani Isah Abba

^*Corresponding author for this work

Interdisciplinary Research Center for Membranes and Water Security

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

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.

Original language	English
Article number	1258961
Journal	Frontiers in Applied Mathematics and Statistics
Volume	9
DOIs	https://doi.org/10.3389/fams.2023.1258961
State	Published - 2023

Bibliographical note

Publisher Copyright:
Copyright © 2023 Ishaq, Suleiman, Daud, Singh, Othman, Sokkalingam, Wiratchotisatian, Usman and Abba.

Keywords

Kumaraswamy distribution
infectious disease
least squares
maximum product of spacing
mortality

ASJC Scopus subject areas

Statistics and Probability
Applied Mathematics

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10.3389/fams.2023.1258961

Cite this

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title = "Log-Kumaraswamy distribution: its features and applications",

abstract = "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.",

keywords = "Kumaraswamy distribution, infectious disease, least squares, maximum product of spacing, mortality",

author = "Ishaq, \{Aliyu Ismail\} and Suleiman, \{Ahmad Abubakar\} and Hanita Daud and Singh, \{Narinderjit Singh Sawaran\} and Mahmod Othman and Rajalingam Sokkalingam and Pitchaya Wiratchotisatian and Usman, \{Abdullahi Garba\} and Abba, \{Sani Isah\}",

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year = "2023",

doi = "10.3389/fams.2023.1258961",

language = "English",

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AU - Ishaq, Aliyu Ismail

AU - Suleiman, Ahmad Abubakar

AU - Daud, Hanita

AU - Singh, Narinderjit Singh Sawaran

AU - Othman, Mahmod

AU - Sokkalingam, Rajalingam

AU - Wiratchotisatian, Pitchaya

AU - Usman, Abdullahi Garba

AU - Abba, Sani Isah

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Kumaraswamy distribution

KW - infectious disease

KW - least squares

KW - maximum product of spacing

KW - mortality

UR - https://www.scopus.com/pages/publications/85176587855

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DO - 10.3389/fams.2023.1258961

M3 - Article

AN - SCOPUS:85176587855

SN - 2297-4687

VL - 9

JO - Frontiers in Applied Mathematics and Statistics

JF - Frontiers in Applied Mathematics and Statistics

M1 - 1258961

ER -

Log-Kumaraswamy distribution: its features and applications

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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