| STRONG LAWS FOR α-MIXING SEQUENCE PROCESSES INDEXED BY SETS |
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| 摘 要： | ＳＴＲＯＮＧＬＡＷＳＦＯＲα－ＭＩＸＩＮＧＳＥＱＵＥＮＣＥＰＲＯＣＥＳＳＥＳＩＮＤＥＸＥＤＢＹＳＥＴＳ￥ＸＵＢＩＮＧＡｂｓｔｒａｃｔ：ＬｅｔＪ＝｛１，２，．．．｝ｄａｎｄｌｅｔ｛Ｘｊ，ｊ∈Ｊ｝ｂｅａｎａ－ｍｉｘｉｎｇｓｅｑｕｅｎｃｅｗｈｉｃｈｉｓｎｏ...
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| 关 键 词： | α混合序列 随机变量 强律 α混合系数 |
| 收稿时间： | 20 January 1993 |
Strong laws for α=mixing sequence processes indexed by sets |
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| Authors: | Xu Bing |
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| Institution: | (1) Department of Mathematics, Ningbo Normal College, 315020 Ningbo |
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| Abstract: | LetJ={1,2,...}
d
and let {X
j, j∈J} be an α-mixing sequence which is not necessarily stationary and letS(nA) be the sum of allX
j for whichj/n∈A. It is proved in this paper thatS(·) satisfies the strong law of large numbers that is uniform overA∈A, whereA is a family of subsets of 0, 1]
d
satisfying a mild condition. |
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| Keywords: | 60F15 |
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