We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson $\chi^2$-distance. The results are based on proper non-uniform estimates for densities. They deal with models of non-homogeneous, non-degenerate Bernoulli distributions.

中文翻译：

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泊松近似中的非均匀边界与信息距离的应用。二

我们根据香农相对熵和皮尔逊$\chi^2$-距离探索了伯努利卷积与泊松极限偏差的渐近最优边界。结果基于适当的非均匀密度估计。他们处理非齐次、非退化伯努利分布的模型。