A novel four-parameter log-logistic model: mathematical properties and applications to breaking stress, survival times and leukemia data-Reference-Cited by-同舟云学术

A novel four-parameter log-logistic model: mathematical properties and applications to breaking stress, survival times and leukemia data

Published:2022-03-04 Issue: Volume: Page:133-149
ISSN:2220-5810
Container-title:Pakistan Journal of Statistics and Operation Research
language:
Short-container-title:Pak.j.stat.oper.res.

Author:

Shehata Wahid^ORCID,Abdullah Murtadha Mansour^ORCID,Refaie Mohamed K. A.^ORCID

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.

Publisher

Pakistan Journal of Statistics and Operation Research

Subject

Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability

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