论文标题
自然离散一个参数多项指数分布的PMF和CDF估计
On estimation of the PMF and the CDF of a natural discrete one parameter polynomial exponential distribution
论文作者
论文摘要
在本文中，已经提出了一个新的自然离散类似物多项式指数（OPPE）分布，作为许多负二项式分布的混合物，并被称为自然离散一个参数一个参数多项式指数（NDOPPE）。该分布是由Ahmed and Afify（2019）提出和研究的自然离散Lindley（NDL）分布的广义版本。已得出了两个估计量，即PMF的MLE和UMVUE和NDOPPE分布的CDF。估计器在其MSE方面进行了比较。已经进行了仿真研究以验证估计器的一致性。已经报道了真实的数据插图。
In this article, a new natural discrete analog of the one parameter polynomial exponential(OPPE) distribution as a mixture of a number of negative binomial distributions has been proposed and is called as a natural discrete one parameter polynomial exponential (NDOPPE) distribution. This distribution is a generalized version of natural discrete Lindley (NDL) distribution, proposed and studied by Ahmed and Afify (2019). Two estimators viz., MLE and UMVUE of the PMF and the CDF of a NDOPPE distribution have been derived. The estimators have been compared with respect to their MSEs. Simulation study has been conducted to verify the consistency of the estimators. A real data illustration has been reported.
