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

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https://doi.org/10.1007/978-1-4939-2602-2ith respect to growing dimension . in comparison with deviations that are valid for the entire class of Lipschitz functions. These conditions involve derivatives of . of the second order, which may be considered both in the spherical and Euclidean setup.
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Sums of Independent Random Variablesistance), 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
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Supremum and Infimum Convolutionsutions, whose advantage is that they do not require smoothness or even continuity of the functions. It is therefore not surprising that supremum- and infimum-convolution inequalities find a wide range of applications.
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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
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Singular perturbations and time-scales,utions, whose advantage is that they do not require smoothness or even continuity of the functions. It is therefore not surprising that supremum- and infimum-convolution inequalities find a wide range of applications.
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https://doi.org/10.1007/978-1-4939-2602-2ith respect to growing dimension . in comparison with deviations that are valid for the entire class of Lipschitz functions. These conditions involve derivatives of . of the second order, which may be considered both in the spherical and Euclidean setup.
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