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| STRONG LIMIT THEOREMS FOR BLOCKWISE m-DEPENDENT RANDOM VARIABLES AND A GENERALIZATION OF THE CONJECTURES OF MORICZ |
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Citation： |
Li Deli,Wang Xiangchen.STRONG LIMIT THEOREMS FOR BLOCKWISE m-DEPENDENT RANDOM VARIABLES AND A GENERALIZATION OF THE CONJECTURES OF MORICZ[J].Chinese Annals of Mathematics B,1991,12(2):192~201 |
| Page view： 837
Net amount： 733 |
Authors： |
Li Deli; Wang Xiangchen |
Foundation： |
Projects supported by the Science Fund of the Chinese Academy of Science. |
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| Abstract： |
The authors introduce the definition of block-wise m-dependent with respect to some positive real sequence for random variables taking values in a separable Banach space,prove some general results on the strong convergence of blockwise m-dependent random variables, and in particular, give positive answers to Moricz conjectures([5]) by a
aharper theorem. |
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