Bivariate Generalized Burr and Related Distributions: Properties and Estimation

Journal of Data Science

article

Hiba Z. Muhammed¹ 

[1] Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University

关键词: Burr distribution;    Compound Weibull distribution;    Weibull gamma distribution;    Generalized Burr distribution;   

DOI  :  10.6339/JDS.201907_17(3).0005

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

Compound distributions gained their importance from the fact that natural factors have compound effects, as in the medical, social and logical experiments. Dubey (1968) introduced the compound Weibull by compounding Weibull distribution with gamma distribution. The main aim of this paper is to define a bivariate generalized Burr (compound Weibull) distribution so that the marginals have univariate generalized Burr distributions. Several properties of this distribution such as marginals, conditional distributions and product moments have been discussed. The maximum likelihood estimates for the unknown parameters of this distribution and their approximate variance- covariance matrix have been obtained. Some simulations have been performed to see the performances of the MLEs. One data analysis has been performed for illustrative purpose.

【 授权许可】

CC BY