The odd extended log-logistic family: Properties, regression, simulations and applications

Author:

Cordeiro Gauss M.1,Prataviera Fábio2,Ortega Edwin M.M.2,Vila Roberto3,Nogueira Erica V.2

Affiliation:

1. Departamento de Estatística, Universidade Federal de Pernambuco, Recife, PE, Brazil

2. Departamento de Ciências Exatas, Universidade de São Paulo, Piracicaba, SP, Brazil

3. Departamento de Estatística, Universidade de Brasília, Brasília, DF, Brazil

Abstract

We define the odd extended log-logistic-G family, and obtain some of its statistical properties. We construct a new extended regression based on the logarithm of the proposed distribution, which can be better than other known regressions to fit real data.

Publisher

IOS Press

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference8 articles.

1. A random-effects regression model based on the odd log-logistic skew normal distribution;Braga;Journal of Statistical Theory and Practice,2022

2. Bayesian survival model induced by frailty for lifetime with long-term survivors;Cancho;Statistica Neerlandica,2021

3. The log-odd log-logistic Weibull regression model: Modelling, estimation, influence diagnostics and residual analysis;da Cruz;Journal of Statistical Computation and Simulation,2016

4. Influence diagnostics for polyhazard models in the presence of covariates;Fachini;Statistical Methods and Applications,2008

5. On the distribution of the breaking strain of a bundle of brittle elastic fibers;Gleaton;Advances in Applied Probability,2006

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