论文标题
Beta Poisson-G分布家族：其属性和使用失败时间数据
Beta Poisson-G Family of Distributions: Its Properties and Application with Failure Time Data
论文作者
论文摘要
对Poisson-G家族的新概括称为Beta Poisson-G分销家族。概率密度函数的有用扩展和所提出家族的累积分布功能被得出，并将其视为泊松G分布的无限混合物。研究了力矩生成功能，功率矩，熵，分位功能，偏度和峰度。将矩，偏度，峰度和熵的数值计算用于选择参数值。此外，讨论了通过最大似然的方法进行估计。模拟研究以不同的样本量进行，以评估该模型的性能。最终，与最近引入的模型相比，通过考虑两个现实生活数据集建模来对所提出的模型进行适用性检查。
A new generalization of the family of Poisson-G is called beta Poisson-G family of distribution. Useful expansions of the probability density function and the cumulative distribution function of the proposed family are derived and seen as infinite mixtures of the Poisson-G distribution. Moment generating function, power moments, entropy, quantile function, skewness and kurtosis are investigated. Numerical computation of moments, skewness, kurtosis and entropy are tabulated for select parameter values. Furthermore, estimation by methods of maximum likelihood is discussed. A simulation study is carried at under varying sample size to assess the performance of this model. Finally suitability check of the proposed model in comparison to its recently introduced models is carried out by considering two real life data sets modeling.
