112 citations · 441 across the 71 of their papers we have counts for
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An improved multivariate version of Kolmogorov's second uniform limit theorem
Friedrich Götze, Andrei Yu. Zaitsev, Dmitry Zaporozhets
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by infinitely divisible laws may be t…
Normal Approximation for Weighted Sums under a Second Order Correlation Condition
S. G. Bobkov, G. P. Chistyakov, F. Götze
Under correlation-type conditions, we derive an upper bound of order for the average Kolmogorov distance between the distributions of weighted sums of dependent summan…
Non-Uniform Bounds in the Poisson Approximation with Applications to Informational Distances. II
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore asymptotically optimal bounds for deviations of distributions of independent Bernoulli random variables from the Poisson limit in terms of the Shannon relative entropy a…
Non-uniform Bounds in the Poisson Approximation with Applications to Informational Distances. I
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson -distance. Th…