Open AccessA novel four-parameter log-logistic model: mathematical properties and applications to breaking stress, survival times and leukemia data
Author(s) -
Wahid A. M. Shehata,
Murtadha Mansour Abdullah,
Mohamed K. A. Refaie
Publication year - 2022
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v18i1.3268
Subject(s) - mathematics , copula (linguistics) , kurtosis , bivariate analysis , bathtub , estimator , univariate , multivariate statistics , logistic regression , statistics , skewness , constant (computer programming) , log logistic distribution , econometrics , exponential distribution , computer science , history , programming language , distribution fitting , archaeology
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.