| 多指标随机阵列的0—1律 |
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| 引用本文： | 吴宗其.多指标随机阵列的0—1律[J].湖南师范大学教育科学学报,1995(5). |
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| 作者姓名： | 吴宗其 |
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| 作者单位： | 湖南教育学院数学系 长沙 |
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| 摘 要： | 本文证明了多指标随机事件阵列的0—1律,多指标独立随机变量阵列的0—1律和多指标相互独立同分布随机变量阵列对称0—1律,这些结果均可看作是单指标随机序列的Borel—Cantelli引理,Kolmogorov无穷远0—Ⅰ律和Hewitt—Savage对称0—1律在多指标情形的推广。
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| 关 键 词： | 多指标集 相互独立随机变量阵列 有限置换 0—1律 |
SOME ZERO-ONE LAWS FOR MULTI-DIMENSIONALLY INDEXED RANDOM ARRAYS |
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| Wu Zongqi.SOME ZERO-ONE LAWS FOR MULTI-DIMENSIONALLY INDEXED RANDOM ARRAYS[J].Journal of Educational Science of Hunan Normal University,1995(5). |
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| Authors: | Wu Zongqi |
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| Abstract: | In this paper, the author proves some zero-one laws for multidimensionally indexed random arrays, that is, the zero-one law for multidimensionally indexed arrays of random events and the zero-one law for multidimensionally indexed arrays of independent random variables and the zero-one law for multitimensionally indexed arrays of i. i. d. random variables. These results are regarded respectively as extensions of the Borel-Cantelli lemma and. the Kolmogorov zero-one law and the Hewitt-Savage zero-one law for One-dimensionally indexed random sequences. |
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| Keywords: | multidimensionally indexed set arrays of independent random variables finite permutation zero-one law |
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