| 相互独立渐近无穷小随机变量之和的极限定理 |
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| 引用本文： | 韩东.相互独立渐近无穷小随机变量之和的极限定理[J].新疆大学学报(理工版),1992(3). |
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| 作者姓名： | 韩东 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 本文提出了一个渐近无穷小条件,并证明了在此条件下,独立随机变量和的极限分布存在的充要条件也就是无穷小随机变量和的极限分布为无穷可分分布律的充要条件。
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| 关 键 词： | 渐近无穷小随机变量之和 极限分布 无穷可分分布律 |
A Limit Theorem for the Distributions of Sums of Independent Random Variables |
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| Han Dong Mathematics.A Limit Theorem for the Distributions of Sums of Independent Random Variables[J].Journal of Xinjiang University(Science & Engineering),1992(3). |
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| Authors: | Han Dong Mathematics |
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| Institution: | Han Dong Mathematics Department |
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| Abstract: | In this paper ew present a condition of asymptotic infinite smallness and prove, under the condition, that the necessary and xufficient conditions for the convergence of distributions of sums of indepndent random varianles satisfying the condition of infinite smallness to a given infinitely divisible distribution. |
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| Keywords: | sums of random variables satisfying the condition of asymptotic smallness limite distribution infinitely distribution |
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