IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 11 NO. 2 2025
DOI: 10.56201/ijasmt.vol.11.no2.2025.pg100-110

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Half Logistic Exponentiated Inverted Weibull distribution: Properties and Application to Survival data

Oseghale Osezuwa Innocent, Laoye Victoria Eshomomoh, Adeleke Zainab Adekemi

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Abstract

In this work, a three-parameter extension of the Inverted Weibull distribution, called the half- logistic Exponentiated Inverted Weibull distribution, is proposed. This distribution has sub- models, including the Exponentiated Inverted Weibull and Inverted Weibull distributions. The proposed model is quite flexible and adaptable to model any kind of life-time data. Standard statistical properties, such as ordinary and incomplete moments, quantile function, moment generating function, reliability function, Renyi, and ?-entropy are obtained. The maximum likelihood method is used to obtain the estimate of the model parameters. An application of the developed model to pig data illustrates its flexibility for lifetime data modeling.

keywords:

Maximum likelihood estimation, incomplete moments, ?-entropy, half-logistic

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