On strong deviation theorems concerning array of random variables with applications

DOI10.7153/jmi-2023-17-69OpenAlexW4387716649MaRDI QIDQ6078448

Wei-Cai Peng, Zhong-zhi Wang, Yongjin Zhang, Unnamed Author

Publication date: 24 October 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-69

zbMATH Keywords

relative entropystrong deviation theoremnegatively dependent random variablesarray of dependent random variablesstrong deviations and strong law of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems in probability theory (60F99)

Cites Work

• Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables
• Negative association of random variables, with applications
• On Some Conditions for Complete Convergence for Arrays of Rowwise Negatively Dependent Random Variables
• Concentration Inequalities for Sums and Martingales
• Some Concepts of Dependence
• Some Convergence Theorems for Independent Random Variables
• Sub-Gaussian random variables
• Unnamed Item