Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616440 | Journal of Mathematical Analysis and Applications | 2014 | 10 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Byoung Jin Choi, Un Cig Ji,