Functional central limit theorems for approximate martingale arrays in a locally compact Abelian group

DOI10.1007/BF01076286zbMath0639.60007MaRDI QIDQ1099866

Michael S. Bingham

Publication date: 1988

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

functional central limit theoremsSkorokhod spacecentral limit theorem on locally compact Abelian groupsmartingale conditionsWiener-type measure

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Approximate martingale characterization of Wiener processes on locally compact Abelian groups

Cites Work

• A central limit theorem for approximate martingale arrays with values in a locally compact Abelian group
• Local conditional expectations and an application to a central limit theorem on a locally compact Abelian group
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