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关于Stable收敛
引用本文:朱辉荣,马智威. 关于Stable收敛[J]. 中山大学学报(自然科学版), 1987, 0(3)
作者姓名:朱辉荣  马智威
作者单位:中山大学数学系,中山大学数学系
摘    要:
本文对一般完备可分距离空间上的随机元序列在更广泛的形式下定义了stable收敛、给出了一些新结果,并通过正面讨论和反例研究了它与其它类型收敛的关系.

关 键 词:stable收敛  依分布收敛  依概率收敛

On Stable Convergence
Zhu Huiroug Ma Zhiwei. On Stable Convergence[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1987, 0(3)
Authors:Zhu Huiroug Ma Zhiwei
Affiliation:Zhu Huiroug Ma Zhiwei
Abstract:
To develop further theory of limit theorems which based on the concepts of convergence in distribution or in probability of r.v's, some authors intruduced anew type of convergence of sequences of r.v's--stable convergence. We discuss this convergence more universally with sequences of random elements on a general complete separable metric space. and get some new results. Moreover. we make clear the relations between stable convergence and convergence in distribution or in probability. and give some interesting examples.
Keywords:Stable convergence  Convergence in distribution  Convergence in probability
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