Several different types of convergence for ND random variables under sublinear expectations

DOI10.1155/2021/6653435zbMath1465.60027OpenAlexW3136340241MaRDI QIDQ2663008

Ziwei Liang, Qunying Wu

Publication date: 15 April 2021

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6653435

Mathematics Subject Classification ID

Strong limit theorems (60F15) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Cites Work

• Unnamed Item
• Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications
• Convergence of probability measures and Markov decision models with incomplete information
• Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm
• A general central limit theorem under sublinear expectations
• Complete convergence and almost sure convergence of weighted sums of random variables
• Marcinkiewicz's strong law of large numbers for nonlinear expectations
• Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications
• Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations
• Convergences of random variables under sublinear expectations
• Three series theorem for independent random variables under sub-linear expectations with applications
• Almost sure convergence theorem and strong stability for weighted sums of NSD random variables
• Another form of Chover's law of the iterated logarithm under sub-linear expectations
• Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
• CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES
• A strong law of large number for negatively dependent and non identical distributed random variables in the framework of sublinear expectation
• Complete Convergence and the Law of Large Numbers

This page was built for publication: Several different types of convergence for ND random variables under sublinear expectations