Convergence Theorems for Uncertain Variable Sequences

Jianrong Wu; Yang Xia

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Convergence Theorems for Uncertain Variable Sequences

机译：不确定变量序列的收敛定理

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摘要

For uncertain variable sequences, conditions of convergences such as Cauchy convergence in measure, convergence almost surely and convergence uniformly almost surely are given. Consequently, the relationships among convergences of uncertain variable sequences are shown. These results have not been proposed in literature so far.

机译：对于不确定的变量序列，给出了收敛条件，例如柯西收敛的度量，几乎确定的收敛和几乎确定的均匀收敛。因此，示出了不确定变量序列的收敛之间的关系。迄今为止，尚未在文献中提出这些结果。

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来源
《International journal of uncertainty, fuzziness and knowledge-based systems》 |2014年第4期|627-639|共13页
作者
Jianrong Wu; Yang Xia;
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作者单位

School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China;

School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China;

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原文格式 PDF
正文语种 eng
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关键词
Uncertainty theory; uncertain measure; uncertain variable sequence; convergence theorem; non-additive measure;

机译：不确定性理论;不确定的措施不确定的可变序列收敛定理非累加措施;

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2. Some mean convergence and complete convergence theorems for sequences of m-linearly negative quadrant dependent random variables (vol 58, pg 511, 2013) [J] . Wu Yongfeng, Rosalsky Andrew, Volodin Andrei Applications of Mathematics . 2017,第2期

机译：m线性负象限相关随机变量序列的一些平均收敛和完全收敛定理（vol 58，pg 511，2013）
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4. Strong Convergence Theorems for Arbitrary Sequence Series of B-Valued Random Variables [C] . Wang, Xiaosheng, Guo, Haiying International Conference on Computational Intelligence and Software Engineering;CiSE 2009 . 2009

机译：B值随机变量的任意序列系列的强收敛定理
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables [O] . Tapas K. Chandra, Deli Li, Andrew Rosalsky -1

机译：行对成对负象限相关随机变量数组的一些平均收敛定理
7. Some mean convergence and complete convergence theorems for sequences of $m$-linearly negative quadrant dependent random variables [O] . Wu, Yongfeng, Rosalsky, Andrew, Volodin, Andrei 2013

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8. Large and Moderate Deviation Limit Theorems for Arbitrary Sequences of Random Variables, with Applications. [R] . Chaganty, N. R. 1991

机译：随机变量任意序列的大中偏差定理及其应用。

Convergence Theorems for Uncertain Variable Sequences

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