Concave Young functions inequalities and an application for strong demimartingales and \(\mathcal{F}\)-strong demimartingales

DOI10.1007/s42519-023-00347-2MaRDI QIDQ6191721

Xiao-Mei Zhang, Decheng Feng

Publication date: 9 February 2024

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersprobability inequalitiesstrong demimartingalesconcave Young functionsconditional strong demimartingales

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15) Generalizations of martingales (60G48)

Cites Work

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• Normal approximation for strong demimartingales
• Conditional versions of limit theorems for conditionally associated random variables
• Conditional demimartingales and related results
• On some maximal inequalities for demimartingales and \(N\)-demimartingales based on concave Young functions
• Chow-type maximal inequality for conditional demimartingales and its applications
• On extending the Brunk-Prokhorov strong law of large numbers for martingale differences
• Maximal inequalities for demimartingales and their applications
• Maximal inequalities for demimartingales and a strong law of large numbers
• Some inequalities for conditional demimartingales and conditional \(N\)-demimartingales
• Maximal inequalities and the strong law of large numbers for strong demimartingales
• Associated random variables and martingale inequalities
• The Conditional Convex Order and a Comparison Inequality

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