寿命数据的一类新的广义Burr III分布
A New Class of Generalized Burr III Distribution for Lifetime Data
摘要：
第一次，广义伽玛伯尔III（GGBIII）被引入作为一个重要的模型的问题，在几个领域，如精算科学，气象学，经济学，金融，环境研究，可靠性，和删失数据的生存分析。一些现有的伽马家庭的审查已经提交。结果发现，分布不能呈现复杂的形状，如单峰和修改的单峰形状，这是非常常见的医学领域。提出并研究了广义Gamma Burr III（GGBIII）分布，其中包括Zografos和Balakrishnan家族作为特例.它被表示为Burr III分布的线性组合，并且具有易于处理的性质。给出了新分布的一些数学性质，包括风险、生存、逆风险率函数、矩、矩母函数、均值和中位差、顺序统计量的分布等。采用极大似然估计技术估计模型参数，并给出了模型在实际数据集上的应用。给出了GGBIII与现有Gamma-G系列的例子和应用以及比较。
英文摘要：
For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data in survival analysis. A review of some existing gamma families have been presented. It was found that the distributions cannot exhibit complicated shapes such as unimodal and modified unimodal shapes which are very common in medical field. The Generalized Gamma Burr III (GGBIII) distribution which includes the family of Zografos and Balakrishnan as special cases is proposed and studied. It is expressed as the linear combination of Burr III distribution and it has a tractable properties. Some mathematical properties of the new distribution including hazard, survival, reverse hazard rate function, moments, moments generating function, mean and median deviations, distribution of the order statistics are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the model are presented. Examples and applications as well as comparisons of the GGBIII to the existing Gamma-G families are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
