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Statistical Modeling Using a New Distribution with Application in Health Data

Author

Listed:
  • Alanazi Talal Abdulrahman

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 55476, Saudi Arabia)

  • Etaf Alshawarbeh

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 55476, Saudi Arabia)

  • Mahmoud M. Abd El-Raouf

    (Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria P.O. Box 1029, Egypt)

Abstract

The modeling of pandemics is significant in understanding and addressing the spread of infectious diseases. This study introduces a novel and highly flexible extension of the asymmetric unit Burr–Hatke distribution, termed the power Burr–Hatke distribution (PUBHD), and comprehensively investigates its mathematical properties. Multiple parameter estimation methods are employed, and their asymptotic behavior is analyzed through simulation experiments. The different estimation techniques are compared to identify the most efficient approach for estimating the distribution’s parameters. To demonstrate the applicability and usefulness of the PUBHD model, we conducted a case study using a sample from the COVID-19 dataset and compared its performance with other established models. Our findings show that the PUBHD model provides a superior fit to the COVID-19 dataset and offers a valuable tool for accurately modeling real-life pandemics.

Suggested Citation

  • Alanazi Talal Abdulrahman & Etaf Alshawarbeh & Mahmoud M. Abd El-Raouf, 2023. "Statistical Modeling Using a New Distribution with Application in Health Data," Mathematics, MDPI, vol. 11(14), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3108-:d:1193976
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    References listed on IDEAS

    as
    1. Muqrin A. Almuqrin & Ahmed M. Gemeay & M. M. Abd El-Raouf & Mutua Kilai & Ramy Aldallal & Eslam Hussam & Fathalla A. Rihan, 2022. "A Flexible Extension of Reduced Kies Distribution: Properties, Inference, and Applications in Biology," Complexity, Hindawi, vol. 2022, pages 1-19, October.
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