Title : ( Inequalities for acceptable noncommutative random variables )
Authors: Mohammad Sal Moslehian , Morad Pliev ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
We introduce the notion of acceptable noncommutative random variables and investigate their essential properties. More precisely, we provide several efficient estimation of tail probabilities of sums of noncommutative random variables under some mild conditions. Moreover, we investigate the complete convergence of a sequence of the form 1λnPni=1 xj in which (xn) is a sequence of acceptable noncommutative random variables. Our results extend some classical inequalities as well.
Keywords
Markov inequality; noncommutative probability space; trace; acceptable random variables.
@article{paperid:1082223,
author = {Sal Moslehian, Mohammad and Morad Pliev},
title = {Inequalities for acceptable noncommutative random variables},
journal = {Infinite Dimensional Analysis, Quantum Probability and Related Topics},
year = {2020},
volume = {23},
number = {2},
month = {June},
issn = {0219-0257},
pages = {2050012--8},
numpages = {-2050004},
keywords = {Markov inequality; noncommutative probability space; trace; acceptable
random variables.},
}
%0 Journal Article
%T Inequalities for acceptable noncommutative random variables
%A Sal Moslehian, Mohammad
%A Morad Pliev
%J Infinite Dimensional Analysis, Quantum Probability and Related Topics
%@ 0219-0257
%D 2020
