| 集值测度,随机集与集值随机过程 |
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| 引用本文： | 张文修,马计丰.集值测度,随机集与集值随机过程[J].西安交通大学学报,1991,25(1):123-130. |
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| 作者姓名： | 张文修 马计丰 |
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| 作者单位： | 西安交通大学数学系
(张文修，马计丰，李腾，李爱浩，高勇)，西安交通大学数学系(代宁) |
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| 摘 要： | 集值测度、随机集与集值随机过程是测度论、概率论与随机过程的进一步扩充。1964年,R.J.Aumann与K.Vind分别研究了集值映射与集值集映射。1972年Z.Artstein系统地研究了集值测度。1977年,F.Hiai等人研究了集值鞅。这就使集值映射在随机数学中得到发展。本文概括了作者近几年在这方面的研究成果。
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| 关 键 词： | 集值随机过程 集值测度 随机集 |
SET-VALUED MEASURES, RANDOM SETS AND SET-VALUED RANDOM PROCESSES |
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| Zhang Wenxiu,Ma Jifeng,Li Teng,Li Aijie,Gao yong,Dai nin.SET-VALUED MEASURES, RANDOM SETS AND SET-VALUED RANDOM PROCESSES[J].Journal of Xi'an Jiaotong University,1991,25(1):123-130. |
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| Authors: | Zhang Wenxiu Ma Jifeng Li Teng Li Aijie Gao yong Dai nin |
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| Institution: | Zhang Wenxiu;Ma Jifeng;Li Teng;Li Aijie;Gao yong;Dai nin Department of Mathematics |
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| Abstract: | Set-valued measures, randoms sets and set-valued random processes are a
generalization on measures theory, probability theory and stochastic processes.
In 1964, R. J. Aumann and K. Vind introduced set-valued mapping and set-
valued set-mapping (i. e. set-valued measures); In 1972, Z. Artstein gave the
properties of set-valued measures; In 1977, F. Hiai introduced the concept of
set-valued Martingales. The purpose of this paper is to introduce our work on
set-valued measures, random sets and set-valued stochastic processes. |
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| Keywords: | set-valued measures random sets set-valued random processes |
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