论文标题
关于组合中心极限定理中的精度：特征函数方法
On the accuracy in a combinatorial central limit theorem: the characteristic function method
论文作者
论文摘要
本文的目的是介绍Bolthausen浆果类型不平等的明确版本（ZeitschriftFürWahrscheinlichkeitheorietheorie und verwandte Gebiete，66，379，379-----386，1984）。文献已经使用Stein方法的变体提供了几种证明。特征函数方法也已应用，但仅导致结果较弱。在本文中，我们通过使用新的身份来克服该方法的困难，并将新的身份与复杂矩阵的永久物质以及最近证明的对近似分布的特征功能的不等式相结合。
The aim of this paper is to present a new proof of an explicit version of the Berry-Esséen type inequality of Bolthausen (Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 66, 379--386, 1984). The literature already provides several proofs of it using variants of Stein's method. The characteristic function method has also been applied but led only to weaker results. In this paper, we show how to overcome the difficulties of this method by using a new identity for permanents of complex matrices in combination with a recently proved inequality for the characteristic function of the approximated distribution.
