| Título: | Some LIL type results on the partial sums and trimmed sums with multidimensional indices |
| Autores: |
Liu, Wei-Dong; Zhejiang University Lin, Zheng-Yan; Zhejiang University |
| Fecha: | 2007-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Law of the iterated logarithm; random field; trimmed sums 60F15 |
| Descripción: | 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 $S_{{n}}/\sqrt{|{n}|h({n})}$. |
| Idioma: | No aplica |
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