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Journals / Türkiye İstatistik Derneği İstatistik Dergisi / 2026 / Volume: 13 Issue: 1

On the DUS-Kumaraswamy Distribution

Kadir Karakaya(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-0781-3587
İsmail Kınacı(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-0992-4133
Coşkun Kuş(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-7176-0176
Yunus Akdoğan(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0003-3520-7493
Pages
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Publication Date
2021-01-02
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A numerical example is also presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Kumaraswamy distribution is introduced by [7] and it is particularly useful for many natural phenomena whose outcomes have lower and upper bounds or bounded outcomes in biomedical and epidemiological research (see [12]).
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Key Findings & Data:In this paper, a new statistical distribution called DUS-Kumaraswamy is introduced by using DUS transformation (which is recently introduced by [6]) on Kumaraswamy distribution.
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Conclusion & Impact:A numerical example is also presented.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Data analysis · Kumaraswamy distribution · Maximum likelihood estimator

Abstract

Kumaraswamy distribution is introduced by [7] and it is particularly useful for many natural phenomena whose outcomes have lower and upper bounds or bounded outcomes in biomedical and epidemiological research (see [12]). In this paper, a new statistical distribution called DUS-Kumaraswamy is introduced by using DUS transformation (which is recently introduced by [6]) on Kumaraswamy distribution. The proposed distribution has the same domain as Kumaraswamy and it can be used as an alternative model to describe the natural phenomena mentioned above. Several distributional properties such as mean, variance, skewness, kurtosis, Lorenz and Bonferroni curves are studied. The statistical inference on the parameters of Dus-Kumaraswamy is discussed by maximum likelihood methodology. A simulation study is conducted to observe the behaviors of maximum likelihood estimates under different conditions. A numerical example is also presented.

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Cite This Article

Karakaya, K., Kınacı, İ., Kuş, C., Akdoğan, Y. (2021). On the DUS-Kumaraswamy Distribution. Türkiye İstatistik Derneği İstatistik Dergisi, Volume: 13 Issue: 1. https://ajindex.com/articles/1562024

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