威布尔-伽马分布：性质与应用
The Weibull-Gamma Distribution: Properties and Applications.
作者信息
Klakattawi Hadeel S
机构信息
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
出版信息
Entropy (Basel). 2019 Apr 26;21(5):438. doi: 10.3390/e21050438.
A new member of the Weibull-generated (Weibull-G) family of distributions-namely the Weibull-gamma distribution-is proposed. This four-parameter distribution can provide great flexibility in modeling different data distribution shapes. Some special cases of the Weibull-gamma distribution are considered. Several properties of the new distribution are studied. The maximum likelihood method is applied to obtain an estimation of the parameters of the Weibull-gamma distribution. The usefulness of the proposed distribution is examined by means of five applications to real datasets.
提出了威布尔生成（Weibull-G）分布族的一个新成员——即威布尔-伽马分布。这种四参数分布在对不同数据分布形状进行建模时能提供很大的灵活性。考虑了威布尔-伽马分布的一些特殊情况。研究了新分布的几个性质。应用最大似然法来获得威布尔-伽马分布参数的估计。通过对五个真实数据集的应用检验了所提出分布的实用性。
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