论文标题
自然离散的一个参数多项式指数分布
A Natural Discrete One Parameter Polynomial Exponential Distribution
论文作者
论文摘要
在本文中，已经提出并研究了一个新的自然离散版本多项式分布族。该分布称为自然离散一个参数多项式指数（NDOPPE）分布。已经研究了结构和可靠性。已经提到了分布参数的估计步骤。在集体风险模型的背景下，复合NDOPPE分布已以封闭形式获得。已将新的复合分布与经典复合泊松，复合二项式，复合离散的林德利，化合物Xgamma-I和化合物Xgamma-II分布进行了比较，该分布涉及在某些自动机器人索赔的帮助下对极端数据进行建模的适用性。
In this paper, a new natural discrete version of the one parameter polynomial exponential family of distributions have been proposed and studied. The distribution is named as Natural Discrete One Parameter Polynomial Exponential (NDOPPE) distribution. Structural and reliability properties have been studied. Estimation procedure of the parameter of the distribution have been mentioned. Compound NDOPPE distribution in the context of collective risk model have been obtained in closed form. The new compound distribution has been compared with the classical compound Poisson, compound Negative binomial, compound discrete Lindley, compound xgamma-I and compound xgamma-II distributions regarding suitability of modelling extreme data with the help of some automobile claim.
