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Abstract

In this paper, we introduce a new continuous log-logistic extension. Several of its properties are established. A numerical analysis for skewness and kurtosis is presented. The new failure rate can be "bathtub or U shaped", "increasing", "decreasing-constant", "J shaped", "constant" and "decreasing". Many bivariate and Multivariate type distributions are derived using the Clayton Copula and the Morgenstern family. To assess of the finite sample behavior of the estimators, we performed a graphical simulation. Some useful applications are considered for supporting the new model.

Keywords

Burr XII Distribution Log-Logistic Model Maximum Likelihood Leukemia Data Modeling Simulation

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How to Cite
Shehata, W., Abdullah, M. M., & Refaie, M. K. A. (2022). A novel four-parameter log-logistic model: mathematical properties and applications to breaking stress, survival times and leukemia data. Pakistan Journal of Statistics and Operation Research, 18(1), 133-149. https://doi.org/10.18187/pjsor.v18i1.3268
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