A central limit theorem for approximate martingale arrays with values in a locally compact Abelian group

DOI10.1007/BF01164015zbMath0599.60010MaRDI QIDQ1080256

Michael S. Bingham

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173744

zbMATH Keywords

central limit theoremtriangular arrayapproximate martingale

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Local conditional expectations and an application to a central limit theorem on a locally compact Abelian group ⋮ Functional central limit theorems for approximate martingale arrays in a locally compact Abelian group ⋮ Replacing the martingale assumption in a martingale central limit theorem ⋮ Convergence of approximate martingale arrays to mixtures of infinitely divisible distributions in locally compact Abelian groups ⋮ Approximate martingale characterization of Wiener processes on locally compact Abelian groups

Cites Work

• On mixing and stability of limit theorems
• Probability distributions on locally compact Abelian groups
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