Borel分布：近似和集中
The Borel Distribution: Approximation and Concentration
摘要：
我们开发了必要的工具，使用斯坦因的方法近似的Borel分布，我们说明了考虑近似的客户数量在忙期的M/G/1队列。我们进一步推导出Borel分布的浓度不等式。这两组结果是基于一个代表性的大小偏置版本的Borel随机变量。
英文摘要：
We develop the tools necessary to use Stein's method for approximation by a Borel distribution, which we illustrate by considering the approximation of the number of customers served in the busy period of an M/G/1 queue. We further derive concentration inequalities for the Borel distribution. Both these sets of results are based on a representation for the size-biased version of a Borel random variable.
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。
