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The Central Limit Theorem for Empirical Moment Generating Functions

โœ Scribed by Maiboroda, R. E.


Book ID
118225123
Publisher
Society for Industrial and Applied Mathematics
Year
1990
Tongue
English
Weight
389 KB
Volume
34
Category
Article
ISSN
0040-585X

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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