论文标题
关于斯坦因在瓦斯尔斯坦距离内的泊松近似因素，非线性运输成本
On Stein's factors for Poisson approximation in Wasserstein distance with non-linear transportation costs
论文作者
论文摘要
我们在瓦斯坦斯坦距离的泊松近似的解决方案上建立了各种界限，并以非线性运输成本。证明是[Barbour和Xia（2006）]使用[Liu和Ma（2009）]中的结果的改进。作为推论，我们获得了在l^2-wasserstein距离中测得的泊松近似误差的估计值。
We establish various bounds on the solutions to a Stein equation for Poisson approximation in Wasserstein distance with non-linear transportation costs. The proofs are a refinement of those in [Barbour and Xia (2006)] using the results in [Liu and Ma (2009)]. As a corollary, we obtain an estimate of Poisson approximation error measured in L^2-Wasserstein distance.
