General random sum limit theorems for martingales with large O-rates

DOI10.4171/ZAA/52zbMath0527.60024MaRDI QIDQ595262

Paul L. Butzer, Dietmar Schulz

Publication date: 1983

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

zbMATH Keywords

random sumscentral limit theoremweak law of large numbersmartingale difference sequenceserror estimates for convergence in distribution

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05)

Related Items (3)

Sharp orders of convergence in the random central limit theorem ⋮ The generalized Trotter operator and weak convergence of dependent random variables in different probability metrics ⋮ On the rates of convergence to symmetric stable laws for distributions of normalized geometric random sums

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