Alexandria Engineering Journal (Nov 2022)

A novel extension of Gumbel distribution: Statistical inference with Covid-19 application

  • Eslam Hossam,
  • Alanazi Talal Abdulrahman,
  • Ahmed M. Gemeay,
  • Nawaf Alshammari,
  • Etaf Alshawarbeh,
  • Nour Khaled Mashaqbah

Journal volume & issue
Vol. 61, no. 11
pp. 8823 – 8842

Abstract

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This paper introduced a relatively new statistical model as an extension of Gumbel distribution, which combines the new alpha power transformation method and Gumbel distribution. Different statistical properties of the proposed model were derived mathematically. Different estimation methods were introduced to estimate proposed model parameters. The behavior of these parameters was checked by using randomly generated data sets and the introduced estimation methods. Two real data sets were analyzed to show how the proposed model fits this data sets than its baseline model and many other well-known and related models.

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