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

Author

Listed:
  • Morad Alizadeh

    (Department of Statistics, Persian Gulf University, Bushehr 75169-13711, Iran
    These authors contributed equally to this work.)

  • Gauss M. Cordeiro

    (Department of Statistics, Federal University of Pernambuco, Recife 50670-901, Brazil
    These authors contributed equally to this work.)

  • Gabriela M. Rodrigues

    (Department of Exact Sciences, University of São Paulo, Piracicaba 13418-900, Brazil
    These authors contributed equally to this work.)

  • Edwin M. M. Ortega

    (Department of Exact Sciences, University of São Paulo, Piracicaba 13418-900, Brazil
    These authors contributed equally to this work.)

  • Haitham M. Yousof

    (Department of Statistics, Mathematics and Insurance, Benha University, Benha 13518, Egypt
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Morad Alizadeh & Gauss M. Cordeiro & Gabriela M. Rodrigues & Edwin M. M. Ortega & Haitham M. Yousof, 2025. "The Extended Kumaraswamy Model: Properties, Risk Indicators, Risk Analysis, Regression Model, and Applications," Stats, MDPI, vol. 8(3), pages 1-23, July.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:3:p:62-:d:1701071
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    References listed on IDEAS

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    1. Mohamed Ibrahim & Walid Emam & Yusra Tashkandy & M. Masoom Ali & Haitham M. Yousof, 2023. "Bayesian and Non-Bayesian Risk Analysis and Assessment under Left-Skewed Insurance Data and a Novel Compound Reciprocal Rayleigh Extension," Mathematics, MDPI, vol. 11(7), pages 1-26, March.
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