On strong deviation theorems concerning array of dependent random sequence

DOI10.1080/03610926.2021.1967396OpenAlexW3194339282MaRDI QIDQ6106251

Zhong-zhi Wang, Unnamed Author, Shu Chen, Ping Hu

Publication date: 27 June 2023

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

Full work available at URL: https://doi.org/10.1080/03610926.2021.1967396

zbMATH Keywords

arithmetic meangeometric meanstrong deviation theoremstrong law of large numbersample-divergence rate

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• A strong law and a law of the single logarithm for arrays of rowwise independent random variables
• Some generalized limit theorems concerning delayed sums of random sequences
• Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables
• A sandwich proof of the Shannon-McMillan-Breiman theorem
• The Markov approximation of the sequences of \(N\)-valued random variables and a class of small deviation theorems.
• Generalized definition of the geometric mean of a non negative random variable
• Some limit theorems of delayed sums for rowwise conditionally independent stochastic arrays