EXTOL 发表于 2025-3-26 21:28:19

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Microaneurysm 发表于 2025-3-27 04:41:46

Characteristic Functions of Weighted SumsIn order to study deviations of the distribution functions . from the typical distribution . by means of the Kolmogorov distance, Berry–Esseen-type inequalities, which we discussed in Chapter 3, will be used. To this end we need to focus first on the behavior of characteristic functions of ..

单独 发表于 2025-3-27 08:54:55

Fluctuations of DistributionsIn order to deal with the main Problem 12.1.2, we start with the Kantorovich distance for bounding possible fluctuations of . around . on average.

烤架 发表于 2025-3-27 11:57:55

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寒冷 发表于 2025-3-27 15:28:26

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饰带 发表于 2025-3-27 18:57:51

Slow coherency and weak connections,lity distributions. In this chapter, these functionals are discussed for product measures (in which case one can also refine upper bounds on “small ball” probabilities), for joint distributions of pairwise independent random variables, and for coordinate-symmetric distributions. We also discuss the

HOWL 发表于 2025-3-27 23:48:13

Slow coherency and weak connections,ctor. However, information on various bounds on characteristic functions and their deviations from the characteristic function of another law on the real line will be needed for a different purpose – to study the Kolmogorov and Lévy distances between the corresponding distribution functions. In this

凝乳 发表于 2025-3-28 04:46:42

Slow coherency and weak connections,istance), and also discuss possible improved rates of approximation when replacing the normal law by corresponding Edgeworth corrections. The first section deals with moment based quantities for single random variables

旅行路线 发表于 2025-3-28 09:41:57

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使显得不重要 发表于 2025-3-28 11:45:14

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查看完整版本: Titlebook: Concentration and Gaussian Approximation for Randomized Sums; Sergey Bobkov,Gennadiy Chistyakov,Friedrich Götze Book 2023 The Editor(s) (i