Hajek–Renyi-type inequality and strong law of large numbers for END sequences

DOI10.1080/03610926.2014.1002938zbMath1381.60059OpenAlexW2344269706MaRDI QIDQ2980127

Fengxi Xia, Xin Deng, Xue-jun Wang

Publication date: 27 April 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.1002938

zbMATH Keywords

strong law of large numbersEND sequenceHajek-Renyi-type inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items (4)

The moment of maximum normed sums of randomly weighted pairwise NQD sequences ⋮ Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables ⋮ Complete convergence of randomly weighted END sequences and its application ⋮ Hajek-Renyi-type inequality for \((\alpha, \beta)\)-mixing sequences and its application to change-point model

Cites Work

• Unnamed Item
• On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables
• Hájek-Rényi-type inequality and strong law of large numbers for some dependent sequences
• A note on the Hajek-Renyi inequality for associated random variables
• On extending the Brunk-Prokhorov strong law of large numbers for martingale differences
• Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails
• The Hàjek-Rènyi-type inequality for associated random variables
• Precise large deviations for dependent random variables with heavy tails
• The Hájek-Rényi inequality for the NA random variables and its application
• Hájek-Rényi-type inequality for associated sequences
• Negative association of random variables, with applications
• Precise large deviations for random sums of END real-valued random variables with consistent variation
• Exponential inequalities and inverse moment for NOD sequence
• On asymptotic approximation of inverse moments for a class of nonnegative random variables
• STRONG LIMIT THEOREMS FOR WEIGHTED SUMS OF NOD SEQUENCE AND EXPONENTIAL INEQUALITIES
• Generalization of an inequality of Kolmogorov
• A General Approach to the Strong Law of Large Numbers

This page was built for publication: Hajek–Renyi-type inequality and strong law of large numbers for END sequences