文章基本信息

标题：A New Generalized-X Family of Distributions: Applications, Characterization and a Mixture of Random Effect Models
本地全文：下载
作者：Rasool Roozegar ; Getachew Tekle ; Gholamhossein Hamedani 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2022
卷号：18
期号：2
页码：483-504
DOI：10.18187/pjsor.v18i2.4043
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：The researchers in applied statistics are recently highly motivated to introduce new generalizations of distributions due to the limitations of the classical univariate distributions. In this study, we propose a new family called new generalized-X family of distributions. A special sub-model called new generalized-Weibull distribution is studied in detail. Some basic statistical properties are discussed in depth. The performance of the new proposed model is assessed graphically and numerically. It is compared with the five well-known competing models. The proposed model is the best in its performance based on the model adequacy and discrimination techniques. The analysis is done for the real data and the maximum likelihood estimation technique is used for the estimation of the model parameters. Furthermore, a simulation study is conducted to evaluate the performance of the maximum likelihood estimators. Additionally, we discuss a mixture of random effect models which are capable of dealing with the overdispersion and correlation in the data. The models are compared for their best fit of the data with these important features. The graphical and model comparison methods implied a good improvement in the combined model.
关键词：NG-X Family; NG-Weibull distribution; Weibull distribution; Simulation; Combined model; Random effect models; Overdispersion; correlation