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独立粗糙变量序列的强收敛性 被引量:1

Strong Convergence for Independent Rough Variables Sequence
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摘要 在信赖性理论的公理化基础上,利用截尾方法,得到独立粗糙变量序列的不等式、Borel-Cantalli引理及三级数定理,推广了某些已有的结果。 This paper studies the limit theorems for rough variables sequences by using the trust measure, which comes from trust theory based on the axiomatic foundation. Konomogomy inequality and Borel-Cantelli lemma for rough variables sequence are presented. As their application, the three series theorem for rough variable sequence is obtained.
出处 《模糊系统与数学》 CSCD 北大核心 2007年第5期131-135,共5页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(10571076)
关键词 信赖性测度 粗糙变量 随机变量 强收敛 Trust Measure Rough Variable Random Variable Strong Convergence
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参考文献3

  • 1刘宝碇.赵瑞清,王纲.不确定规划及应用[M].北京:清华大学出版社,2004:179-198.
  • 2黄正华,胡宝清.模糊粗糙集理论研究进展[J].模糊系统与数学,2005,19(4):125-134. 被引量:40
  • 3王寿仁.概率论基础和随机过程[M].北京:科学出版社,2000.

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共引文献48

同被引文献3

  • 1黄正华,胡宝清.模糊粗糙集理论研究进展[J].模糊系统与数学,2005,19(4):125-134. 被引量:40
  • 2刘宝碇.赵瑞清,王纲.不确定规划及应用[M].北京:清华大学出版社,2004:179-198.
  • 3王寿仁.概率论基础和随机过程[M].北京:科学出版社,2000.

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