Local conditional expectations and an application to a central limit theorem on a locally compact Abelian group

DOI10.1007/BF01161593zbMath0633.60013MaRDI QIDQ1096233

Michael S. Bingham

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/183715

zbMATH Keywords

central limit theoremtriangular arraymixture of Gaussian distributionslocal conditional expectationlocally compact second countable Abelian group

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Functional central limit theorems for approximate martingale arrays in a locally compact Abelian group ⋮ Asymptotic behavior of solutions to half-linear \(q\)-difference equations ⋮ Topology of negatively curved real affine algebraic surfaces ⋮ Weighted strong law of large numbers for random variables indexed by a sector

Cites Work

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