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A general law of precise asymptotics for the complete moment convergence

✍ Scribed by Yong Zhang; Xiaoyun Yang; Zhishan Dong

Publisher: Coastal and Estuarine Research Federation
Year: 2009
Tongue: English
Weight: 160 KB
Volume: 30
Category: Article
ISSN: 1860-6261
DOI: 10.1007/s11401-007-0309-6

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a b s t r a c t Let {X, X n ; n ≥ 1} be a sequence of independent and identically distributed (i.i.d.) random variables with X in the domain of attraction of the normal law and EX = 0. In this note, we obtain a new kind of complete moment convergence for self-normalized sums.