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Moment bounds and central limit theorems for Gaussian subordinated arrays

✍ Scribed by Jean-Marc Bardet; Donatas Surgailis


Book ID
119300446
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
359 KB
Volume
114
Category
Article
ISSN
0047-259X

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Moment bounds and central limit theorem
✍ Philippe Soulier πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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