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The Extended Exponential Weibull Distribution: Properties, Inference, and Applications to Real‐Life Data

Author

Listed:
  • Adam Braima S. Mastor
  • Oscar Ngesa
  • Joseph Mung’atu
  • Nada M. Alfaer
  • Ahmed Z. Afify

Abstract

A novel version of the exponential Weibull distribution known as the extended exponential Weibull (ExEW) distribution is developed and examined using the Lehmann alternative II (LAII) generating technique. The new distributions basic mathematical properties are derived. The maximum likelihood estimation (MLE) technique is used to estimate the unknown parameters of the proposed distribution. The estimators’ performance is further assessed using the Monte Carlo simulation technique. Eventually, two real‐world data sets are utilized to show the applicability of the new distribution.

Suggested Citation

  • Adam Braima S. Mastor & Oscar Ngesa & Joseph Mung’atu & Nada M. Alfaer & Ahmed Z. Afify, 2022. "The Extended Exponential Weibull Distribution: Properties, Inference, and Applications to Real‐Life Data," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4068842
    DOI: 10.1155/2022/4068842
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    References listed on IDEAS

    as
    1. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
    2. Abdisalam Hassan Muse & Samuel M. Mwalili & Oscar Ngesa, 2021. "On the Log-Logistic Distribution and Its Generalizations: A Survey," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-93, June.
    3. Wenjing He & Zubair Ahmad & Ahmed Z. Afify & Hafida Goual, 2020. "The Arcsine Exponentiated- X Family: Validation and Insurance Application," Complexity, Hindawi, vol. 2020, pages 1-18, May.
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