论文标题
泊松近似于电源串联分布的卷积
Poisson Approximation to the Convolution of Power Series Distributions
论文作者
论文摘要
在本文中，我们获得了总方差距离，通过Stein的方法，Poisson和Power系列分布之间的误差界限。这为许多已知的离散分布提供了统一的方法。几个泊松限制了定理，从我们的界限开始。作为应用，我们将泊松近似结果与负二项式近似结果进行比较，即伯努利，几何和对数串联随机变量的总和。
In this article, we obtain, for the total variance distance, the error bounds between Poisson and convolution of power series distributions via Stein's method. This provides a unified approach to many known discrete distributions. Several Poisson limit theorems follow as corollaries from our bounds. As applications, we compare the Poisson approximation results with the negative binomial approximation results, for the sums of Bernoulli, geometric, and logarithmic series random variables.
