The properties of Type II Half-Logistic Exponentiated Weibull Distribution with Applications

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Published: Mar 30, 2023
DOI: https://doi.org/10.56919/usci.2123.006
Keywords:
Hazard function, Maximum likelihood, Order Statistics, Reliability Function, Type II Half-Logistic Exponentiated-G, Weibull distribution.

Main Article Content

Bello Olalekan Akanji
Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
https://orcid.org/0000-0002-2209-9035
Doguwa, Sani Ibrahim
Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
https://orcid.org/0000-0002-2209-9035
Yahaya Abubakar
Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
https://orcid.org/0000-0002-1453-7955
Jibril Haruna Mohammed
Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
https://orcid.org/0000-0001-7869-1807

Abstract

Recent research has demonstrated the utility of extending continuous distributions in fitting data of all kinds. This paper proposes the Type II Half-Logistic Exponentiated Weibull (TIIHLEtW) Distribution as a new distribution. For the Type II Half-Logistic Exponentiated Weibull distribution, we obtain precise expressions for the quantile function, probability-weighted, moments, moments generating function, reliability function, hazards function, and order statistics. The maximum likelihood estimation approach is used to estimate the parameters of the new distribution, and a simulation study is presented. Two real data sets are used to demonstrate the new distribution's applicability and flexibility. The findings indicated that the new distribution is a better fit for the data compared to the other models that were examined.


 

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How to Cite
Bello Olalekan Akanji, Doguwa, Sani Ibrahim, Yahaya Abubakar, & Jibril Haruna Mohammed. (2023). The properties of Type II Half-Logistic Exponentiated Weibull Distribution with Applications. UMYU Scientifica, 2(1), 39–52. https://doi.org/10.56919/usci.2123.006
Issue
Vol. 2 No. 1 (2023): UMYU Scientifica, Volume 2, Issue 1, 2023
Section
Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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