On the Hàjek-Rènyi inequality

DOI10.1007/s11859-007-0029-5zbMath1174.60309OpenAlexW2005897816MaRDI QIDQ3610442

Shixin Gan, De Hua Qiu

Publication date: 6 March 2009

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11859-007-0029-5

zbMATH Keywords

\(m\)-dependent sequencesNA sequences\(\phi\)-mixing sequencesHàjek-Rènyi inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (3)

Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations ⋮ Strong laws for blockwise martingale difference arrays in Banach spaces ⋮ A Hájek-Rényi-type maximal inequality and strong laws of large numbers for multidimensional arrays

Cites Work

• A martingale inequality for the empirical process
• The Hájek-Rényi inequality for the NA random variables and its application
• The Hájek-Rényi inequality for Banach space valued martingales and the \(p\) smoothness of Banach spaces
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• Generalization of an inequality of Kolmogorov
• The Hàjek-Rènyi inequlity for Banach space valued random variable sequences and its application
• Some Limit Theorems for Stationary Processes
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Hàjek-Rènyi inequality