The odd log-logistic Lindley-G family of distributions: properties, Bayesian and non-Bayesian estimation with applications

被引：0
|
作者：
Morad Alizadeh
Ahmed Z. Afify
M. S. Eliwa
Sajid Ali
机构：
[1] Persian Gulf University,Department of Statistics
[2] Benha University,Department of Statistics, Mathematics and Insurance
[3] Mansoura University,Department of Mathematics, Faculty of Science
[4] Quaid-i-Azam University,Department of Statistics
来源：
Computational Statistics | 2020年 / 35卷
关键词：
Bayesian estimation; Hazard rate function; Lindley distribution; Maximum likelihood; Simulation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a new class of distributions called the odd log-logistic Lindley-G family is proposed. Several of its statistical and reliability properties are studied in-detail. One members of the proposed family can have symmetrical, right-skewed, leftt-skewed and reversed-J shaped densities, and decreasing, increasing, bathtub, unimodal and reversed-J shaped hazard rates. The model parameters are estimated using the maximum likelihood and Bayesian methods. Monte-Carlo simulation study is carried out to examine the bias and mean square error of maximum likelihood and Bayesian estimators. Finally, four real data sets are analyzed to show the flexibility of the new family.
引用
收藏
页码：281 / 308
页数：27
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