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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number1258961
JournalFrontiers in Applied Mathematics and Statistics
StatePublished - 2023

Bibliographical note

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


  • Kumaraswamy distribution
  • infectious disease
  • least squares
  • maximum product of spacing
  • mortality

ASJC Scopus subject areas

  • Statistics and Probability
  • Applied Mathematics


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