| 紧交换半群上概率测度卷积序列的极限性质 |
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| 引用本文： | 徐侃.紧交换半群上概率测度卷积序列的极限性质[J].系统科学与数学,1992,12(1):089-093. |
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| 作者姓名： | 徐侃 |
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| 作者单位： | 湖北师范学院数学系 黄石435002
(徐侃)，湖北师范学院数学系 黄石435002(刘锦萼) |
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| 摘 要： | 本文用“部分群化”的方法研究紧交换半群上概率测度的极限性质.§3讨论 i.i.d 的情形,将紧群上的 Kawada-It(?)型结果以相应的形式建立到紧交换半群上.§4讨论独立非同分布的情形,建立了紧交换半群上的强 Kloss 收敛准则,它曾由苏联学者 Maksimov先后在有限群(1])与紧群上(2])得到.
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LIMIT BEHAVIOURS OF CONVOLUTION SEQUENCES OF PROBABILITY MEASURES ON COMPACT ABELIAN SEMIGROUPS |
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| XU KAN,LIU JIN-E.LIMIT BEHAVIOURS OF CONVOLUTION SEQUENCES OF PROBABILITY MEASURES ON COMPACT ABELIAN SEMIGROUPS[J].Journal of Systems Science and Mathematical Sciences,1992,12(1):089-093. |
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| Authors: | XU KAN LIU JIN-E |
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| Institution: | (1)Hubei Techers' College,Huangshi 435002;(2)Hubei Techers' College,Huangshi 435002 |
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| Abstract: | In this paper,the method of partial groupization is applied to the study of limit behavioursof probability measures on Abelian semigroups.First the existence of the limit for the i.i.d.random variable convolution power sequence is discussed,and a result of Kawada-Ito type oncompact Abelian semigroups is given.Then,a strong principle of Kloss convergence on com-pact Abelian semigroups is set up.This principle was once obtained by Maksimov on finitgroups and compact groups. |
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