What question did this study set out to answer?

To propose a new family of distributions and demonstrate its importance through real data applications.

January 6, 2026Mathematical and Computational Applications0 citationsOpen Access

Generalization of Log-Logistic Family with Quantile Regression Model

FLFazlollah LakPersian Gulf University EAEmrah Altun MAMorad AlizadehPersian Gulf University

Key Points

To propose a new family of distributions and demonstrate its importance through real data applications.
Introduced a new general class of distributions via transformation of generalized odd-logistic family.
Developed a flexible Weibull distribution and performed comparisons with standard Weibull.
Applied a quantile regression model using the newly developed Weibull distribution.
Demonstrated the importance of the proposed Weibull distribution compared to other generalizations.
Showed the effectiveness of the quantile regression model in real data applications.

Abstract

A new general class of distributions is proposed by applying the transformation to the random variable that follows the generalized odd-logistic family. Using the proposed family, we introduce a flexible Weibull distribution. The importance of the proposed distribution is demonstrated and compared with different generalizations of the Weibull distribution via three real data applications. A quantile regression model is obtained using the newly developed Weibull model and compared with the standard Weibull quantile regression model through a real data application.

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