An extended odd log-logistic-Lindley distribution with properties, applications and Bayesian estimation
Abstract
This paper introduces a four-parameter extended odd log-logistic-Lindley distribution from which moments, hazard, and quantile functions are then obtained. The statistical properties of this distribution show the high flexibility of the proposed distribution. The maximum likelihood and least-squares estimators of the extended odd log-logistic-Lindley parameters are studied. Moreover, a simulation study is carried out for evaluating the performance of the estimation methods, and the usefulness of the new distribution is illustrated using two real data sets. Finally, Bayesian analysis and efficiency of Gibbs sampling are provided on the basis of two real data sets.
Fields of Study & Subjects
Statistical Distribution Estimation and Applications
Probability and Statistical Research
Bayesian Methods and Mixture Models
Publication details
- Journal / source
- Statistics in Transition New Series
- Volume
- 27
- Issue
- 1
- Pages
- 85–103
- Publication date
- 11 March 2026
- Language
- EN