How to cite item

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

   
@article{ECP1286,
	author = {Wei-Dong Liu and Zheng-Yan Lin},
	title = {Some LIL type results on  the partial sums and trimmed sums with multidimensional indices},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Law of the iterated logarithm;  random field; trimmed sums},
	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   $S_{{n}}/\sqrt{|{n}|h({n})}$.},
	pages = {no. 22, 221-233},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1286},    
        url = {http://ecp.ejpecp.org/article/view/1286}}