| STRONG LIMIT THEOREMS FOR BLOCKWISE m-DEPENDENT RANDOM VARIABLES AND A GENERALIZATION OF THE CONJECTURES OF MORICZ |
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| 作者姓名： | Li Deli Wang Xiangchen |
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| 作者单位： | Department of Mathematics Jilin University，Changchun，Jilin，China.，Department of Mathematics，Jilin University，Changchun，Jilin，China. |
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| 基金项目： | Projects supported by the Science Fund of the Chinese Academy of Science |
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| 摘 要： | The authors introduce the definition of block-wise m-dependent with respect to somepositive real sequence for random variables taking values in a separable Banach space,prove some general results on the strong convergence of blockwise m-dependent randomvariables,and in particular,give positive answers to Móricz conjectures(5])by asharper theorem.
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| 收稿时间： | 1988/9/16 0:00:00 |
STRONG LIMIT THEOREMS FOR BLOCKWISE m-DEPENDENT RANDOM VARIABLES AND A GENERALIZATION OF THE CONJECTURES OF MORICZ |
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| 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,Series B,1991,12(2):192-201. |
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| Authors: | Li Deli and Wang Xiangchen |
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| Institution: | Department of Mathematics, Jilin Univercity,Changchun, Jilin,China. and Department of Mathematics, Jilin Univercity,Changchun, Jilin,China. |
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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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