Convergence rates for weighted sums in noncommutative probability space

Choi B.J.; Ji U.C.

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Convergence rates for weighted sums in noncommutative probability space

机译：非可交换概率空间中加权和的收敛速度

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We study convergence rates for weighted sums of pairwise independent random variables in a noncommutative probability space of which the weights are in a von Neumann algebra. As applications, we first study convergence rates for weighted sums of random variables in the noncommutative Lorentz space, and second we study convergence rates for weighted sums of probability measures with respect to the free additive convolution.

机译：我们研究非交换概率空间中成对独立随机变量的加权和的收敛速度，该非交换概率空间的权重在冯·诺伊曼代数中。作为应用，我们首先研究非交换Lorentz空间中随机变量加权和的收敛速度，其次研究关于自由加性卷积的概率测度加权和的收敛速度。

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《Journal of Mathematical Analysis and Applications》 |2014年第2期|共10页
作者
Choi B.J.; Ji U.C.;
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正文语种 eng
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关键词
Convergence rate; Free convolution; Noncommutative Lorentz space; Noncommutative probability space; Weak law of large numbers; Weighted sum;

机译：收敛速度自由卷积非交换洛伦兹空间非交换概率空间大数弱定律加权和;

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1. Exponential convergence rates for weighted sums in noncommutative probability space [J] . Choi Byoung Jin, Ji Un Cig Infinite dimensional analysis, quantum probability, and related topics . 2016,第4期

机译：非交换概率空间中加权和的指数收敛速度
2. Convergence rates for weighted sums in noncommutative probability space [J] . Choi B.J., Ji U.C. Journal of Mathematical Analysis and Applications . 2014,第2期

机译：非可交换概率空间中加权和的收敛速度
3. Improved convergence rates for tail probabilities for sums of i.i.d. Banach space valued random vectors [J] . Spǎtaru A. Journal of Mathematical Analysis and Applications . 2012,第1期

机译：改进了i.i.d的尾部概率的收敛速度Banach空间值随机向量
4. On the Almost Sure Convergence Rate for Weighted Sums of Negatively Associated random Variables with Application to Priestley-Chao Estimate [C] . Ganji Huang, Guodong Xing International Conference on Sensors, Mechatronics and Automation . 2015

机译：在应用于普利斯特利 - 昭估计的基础上对负相关随机变量的加权和加权总和的汇聚率
5. Almost sure convergence of the maximum of a stationary sequence and asymptotic properties of probability weighted moments. [D] . Naveau, Philippe Jean-Marie. 1998

机译：平稳序列的最大值和概率加权矩的渐近性质的几乎确定的收敛性。
6. On complete convergence and complete moment convergence for weighted sums of ... formula ...-mixing random variables [O] . Pingyan Chen, Soo Hak Sung -1

机译：关于...公式...混合随机变量的加权和的完全收敛和完全矩收敛
7. Improved convergence rates for tail probabilities for sums of i.i.d. Banach space valued random vectors [O] . Spătaru Aurel 2012

机译：改进了i.i.d的尾部概率的收敛速度Banach空间值随机向量
8. Convergence of Weighted Sums of Arrays of Random Elements in Type p Spaces with Application to Density Estimation. [R] . Taylor, R. L. 1981

机译：应用于密度估计的p型空间中随机元素阵列加权和的收敛性。

Convergence rates for weighted sums in noncommutative probability space

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