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A novel four-parameter log-logistic model: mathematical properties and applications to breaking stress, survival times and leukemia data
Author(s):
1. Wahid A. M. Shehata: Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University,,Egypt
2. Murtadha Mansour Abdullah: University of Wasit. College of Administration and Economics,,Iraq
3. Mohamed K. A. Refaie: Agami High Institute of Administrative Sciences,Alexandria,Egypt
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. 
Page(s): 133-149
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 1, Year: 2022
Keywords:
maximum likelihood , Burr XII Distribution , Modeling , Leukemia Data , LogLogistic Model
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