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

doi:10.1016/j.aej.2022.01.071

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

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	8823-8842
Number of pages	20
Journal	Alexandria Engineering Journal
Volume	61
Issue number	11
DOIs	https://doi.org/10.1016/j.aej.2022.01.071
State	Published - Nov 2022
Externally published	Yes

Keywords

Covid 19
Estimation methods.
Gumbel distribution

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.aej.2022.01.071

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title = "A novel extension of Gumbel distribution: Statistical inference with Covid-19 application",

abstract = "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.",

keywords = "Covid 19, Estimation methods., Gumbel distribution",

author = "Eslam Hossam and Abdulrahman, \{Alanazi Talal\} and Gemeay, \{Ahmed M.\} and Nawaf Alshammari and Etaf Alshawarbeh and Mashaqbah, \{Nour Khaled\}",

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year = "2022",

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doi = "10.1016/j.aej.2022.01.071",

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AU - Hossam, Eslam

AU - Abdulrahman, Alanazi Talal

AU - Gemeay, Ahmed M.

AU - Alshammari, Nawaf

AU - Alshawarbeh, Etaf

AU - Mashaqbah, Nour Khaled

PY - 2022/11

Y1 - 2022/11

N2 - 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.

AB - 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.

KW - Covid 19

KW - Estimation methods.

KW - Gumbel distribution

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EP - 8842

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 11

ER -

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

Abstract

Keywords

UN SDGs

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