| Cantor型随机变量序列强极限定理的研究 |
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| 引用本文： | 王康康,杨卫国.Cantor型随机变量序列强极限定理的研究[J].江苏科技大学学报(社会科学版),2006,20(3):26-29. |
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| 作者姓名： | 王康康 杨卫国 |
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| 作者单位： | 江苏科技大学数理学院 江苏镇江212003(王康康)，江苏大学理学院 江苏镇江212013(杨卫国) |
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| 摘 要： | 研究了对任意Cantor型随机变量序列普遍成立的一类强大数定理。证明中利用条件期望的概念,采用测度的网微分法并运用纯分析运算得出结论,由推论得到随机变量序列已有的经典强大数定律以及对任意随机变量序列普遍成立的强大数定律。
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| 关 键 词： | Cantor型随机变量序列 网微分法 条件期望 任意随机序列 |
| 文章编号： | 1673-4807（2006）03-0026-04 |
| 收稿时间： | 2005-10-10 |
| 修稿时间： | 2005年10月10 |
Research on Strong Limit Theorem for Cantor-like Stochastic Sequence |
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| WANG Kangkang,YANG Weiguo.Research on Strong Limit Theorem for Cantor-like Stochastic Sequence[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2006,20(3):26-29. |
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| Authors: | WANG Kangkang YANG Weiguo |
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| Institution: | 1, School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, China; 2. School of Mathematics and Physics, Jiangsu University, Zhenjiang Jiangsu 212013, China |
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| Abstract: | A class of strong laws of large number for arbitrary Cantor-like stochastic sequence are investigated.By using the concept of conditional expectation,the methods of differentiation measure on net and pure analytical calculations are adopted in the deduction.As the corollaries,the classical strong law of large number for the stochastic sequence and the strong law of large number for the arbitrary stochastic sequence are obtained. |
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| Keywords: | Cantor-ike stochastic sequence differentiation measure on net conditional expectation arbitrary stochastic sequence |
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