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Scaling limits of Gaussian vector fields

โœ Scribed by Loren D. Pitt


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
480 KB
Volume
8
Category
Article
ISSN
0047-259X

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Moment bounds and central limit theorem
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