The Extended Dagum Distribution: Properties and Application

Journal of Data Science

article

Alisson de O. Silva¹  Luana Cecília M. da Silva¹  Gauss M. Cordeiro¹ 

[1] Universidade Federal de Pernambuco Departamento de Estatística

关键词: Dagum distribution;    Exponentiated class;    Maximum likelihood;   

DOI  :  10.6339/JDS.201501_13(1).0004

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

We study a new five-parameter model called the extended Dagum distribution. The proposed model contains as special cases the log-logistic and Burr III distributions, among others. We derive the moments, generating and quantile functions, mean deviations and Bonferroni, Lorenz and Zenga curves. We obtain the density function of the order statistics. The parameters are estimated by the method of maximum likelihood. The observed information matrix is determined. An application to real data illustrates the importance of the new model.

【 授权许可】

CC BY