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Comparison and anti-concentration bounds for maxima of Gaussian random vectors

โœ Scribed by Chernozhukov, Victor; Chetverikov, Denis; Kato, Kengo

Book ID
125347829
Publisher
Springer
Year
2014
Tongue
English
Weight
281 KB
Volume
162
Category
Article
ISSN
1432-2064

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Moment bounds and central limit theorem
Moment bounds and central limit theorem for functions of Gaussian vectors
โœ Philippe Soulier ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

In this note, bounds for moments of functions of Gaussian vectors are proved, generalizing earlier results by Taqqu (Z. Wahrscheinlichkeitstheorie verw. Gebite 40 (1977) 203) and Arcones (Ann. probab. 15 (4) (1994) 2243). These bounds are used to derive a Lindeberg-Levy central limit theorem for tri