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Some LIL type results on the partial sums and trimmed sums with multidimensional indices


 
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1. Title Title of document Some LIL type results on the partial sums and trimmed sums with multidimensional indices
 
2. Creator Author's name, affiliation, country Wei-Dong Liu; Zhejiang University
 
2. Creator Author's name, affiliation, country Zheng-Yan Lin; Zhejiang University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Law of the iterated logarithm; random field; trimmed sums
 
3. Subject Subject classification 60F15
 
4. Description Abstract Let $\{X, X_{{n}}; n\in\mathbb{N}^{d}\}$ be a field of i.i.d. random variables indexed by $d$-tuples of positive integers and let $S_{{n}}=\sum_{{k}\leq{n}}X_{{k}}$. We prove some strong limit theorems for $S_{{n}}$. Also, when $d\geq 2$ and $h({n})$ satisfies some conditions, we show that there are no LIL type results for $S_{{n}}/\sqrt{|{n}|h({n})}$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2007-07-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1286
 
10. Identifier Digital Object Identifier 10.1214/ECP.v12-1286
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 12
 
12. Language English=en
 
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