General limit theorems with \({\mathfrak o}\)-rates and Markov processes under pseudo-moment conditions

DOI10.4171/ZAA/307zbMath0662.60035OpenAlexW2565757840MaRDI QIDQ1113518

S. H. Smith

Publication date: 1988

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/307

zbMATH Keywords

martingale difference sequencesgeneralized pseudo-Lindeberg conditionLindeberg-Trotter operator methodpseudomoment condition

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Rate of convergence, degree of approximation (41A25)

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The generalized Trotter operator and weak convergence of dependent random variables in different probability metrics ⋮ Weax convergence of probability reasures in C_b(C[0,1) equipped with rates]

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