Inequalities for acceptable noncommutative random variables

DOI10.1142/S0219025720500125zbMath1466.46054OpenAlexW3083883116MaRDI QIDQ5132463

M. A. Pliev, Ghadir Sadeghi, Mohammad Sal Moslehian

Publication date: 12 November 2020

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025720500125

zbMATH Keywords

traceMarkov inequalitynoncommutative probability spaceacceptable random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53)

Cites Work

• Inequalities for sums of random variables in noncommutative probability spaces
• Some probability inequalities for a class of random variables and their applications
• A note on the exponential inequality for a class of dependent random variables
• Etemadi and Kolmogorov inequalities in noncommutative probability spaces
• Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables
• Probability Inequalities for the Sum of Independent Random Variables
• General theorems on exponential and Rosenthal's inequalities and on complete convergence
• A trick for investigation of near-martingales in quantum probability spaces
• EXPONENTIAL INEQUALITIES AND COMPLETE CONVERGENCE OF EXTENDED ACCEPTABLE RANDOM VARIABLES