Limit Theorems with ϑ-Rates for Random Sums of Dependent Banach-Valued Random Variables

DOI10.1002/MANA.19841190106zbMath0559.60008OpenAlexW2093782867MaRDI QIDQ5185763

Dietmar Schulz, Paul L. Butzer

Publication date: 1984

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19841190106

zbMATH Keywords

rates of approximationweak law of large numbersmartingale difference sequencesconvergence of randomly indexed sums

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Rate of convergence, degree of approximation (41A25) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

o-rates of closeness of two weighted random sums of dependent Banach- valued random variables ⋮ 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] ⋮ Distribution Theory by Riemann Integrals

Cites Work

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