The Extended Kumaraswamy Model: Properties, Risk Indicators, Risk Analysis, Regression Model, and Applications

We propose a new unit distribution, study its properties, and provide an important application in the field of geology through a set of risk indicators. We test its practicality through two applications to real data, make comparisons with the well-known beta and Kumaraswamy distributions, and estimate the parameters of the new distribution in different ways. We provide a new regression model and apply it in statistical prediction operations for residence times data.

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Publication Details

Journal
Stats
Published
2025-07-14
DOI
https://doi.org/10.3390/stats8030062
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

The Extended Kumaraswamy Model: Properties, Risk Indicators, Risk Analysis, Regression Model, and Applications

Gauss M. Cordeiro, Gabriela M. Rodrigues, Morad Alizadeh, Haitham M. Yousof et al.
Stats
Statistical Distribution Estimation and Applications
article

The Extended Kumaraswamy Model: Properties, Risk Indicators, Risk Analysis, Regression Model, and Applications

Gauss M. Cordeiro, Gabriela M. Rodrigues, Morad Alizadeh, Haitham M. Yousof, Edwin F. Ortega
article en

Abstract

We propose a new unit distribution, study its properties, and provide an important application in the field of geology through a set of risk indicators. We test its practicality through two applications to real data, make comparisons with the well-known beta and Kumaraswamy distributions, and estimate the parameters of the new distribution in different ways. We provide a new regression model and apply it in statistical prediction operations for residence times data.

StatsVol. 8(3)
Universidade de São Paulo (BR), Benha University (EG), Universidade Federal de Pernambuco (BR), Persian Gulf University (IR)
Openalex Percentile: Top 83%
Statistical Distribution Estimation and Applications
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The Extended Kumaraswamy Model: Properties, Risk Indicators, Risk Analysis, Regression Model, and Applications — Gauss M. Cordeiro, Gabriela M. Rodrigues, et al. · Stats (2025) | TGRS Research Map | TGRS