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Extended Half-Power Exponential Distribution with Applications to COVID-19 Data

Author

Listed:
  • Karol I. Santoro

    (Departamento de Matemática, Facultad de Ciencias, Universidad Católica del Norte, Antofagasta 1240000, Chile
    These authors contributed equally to this work.)

  • Héctor J. Gómez

    (Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, Chile
    These authors contributed equally to this work.)

  • Inmaculada Barranco-Chamorro

    (Departamento de Estadística e Investigación Operativa, Universidad de Sevilla, 41012 Sevilla, Spain
    These authors contributed equally to this work.)

  • Héctor W. Gómez

    (Departamento de Matemática, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
    These authors contributed equally to this work.)

Abstract

In this paper, the Extended Half-Power Exponential (EHPE) distribution is built on the basis of the Power Exponential model. The properties of the EHPE model are discussed: the cumulative distribution function, the hazard function, moments, and the skewness and kurtosis coefficients. Estimation is carried out by applying maximum likelihood (ML) methods. A Monte Carlo simulation study is carried out to assess the performance of ML estimates. To illustrate the usefulness and applicability of EHPE distribution, two real applications to COVID-19 data in Chile are discussed.

Suggested Citation

  • Karol I. Santoro & Héctor J. Gómez & Inmaculada Barranco-Chamorro & Héctor W. Gómez, 2022. "Extended Half-Power Exponential Distribution with Applications to COVID-19 Data," Mathematics, MDPI, vol. 10(6), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:942-:d:771557
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    References listed on IDEAS

    as
    1. Choy, S. T. Boris & Walker, Stephen G., 2003. "The extended exponential power distribution and Bayesian robustness," Statistics & Probability Letters, Elsevier, vol. 65(3), pages 227-232, November.
    2. Saralees Nadarajah, 2005. "A generalized normal distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 685-694.
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    Cited by:

    1. Nanami Taketomi & Kazuki Yamamoto & Christophe Chesneau & Takeshi Emura, 2022. "Parametric Distributions for Survival and Reliability Analyses, a Review and Historical Sketch," Mathematics, MDPI, vol. 10(20), pages 1-23, October.

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