A GENERALIZATION OF A THEOREM OF DENY WITH APPLICATIONS IN CHARACTERIZATION THEORY
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Publication:4727112
DOI10.1093/qmath/38.1.13zbMath0617.60016OpenAlexW2009238266MaRDI QIDQ4727112
Laurie Davies, Damodar N. Shanbhag
Publication date: 1987
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/38.1.13
characterizationconvolution equationstopological semigroupmultivariate distributionsmartingale arguments
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characteristic functions; other transforms (60E10)
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Characterizations of Stable Laws Based on a Number Theoretic Result ⋮ Infinite convolutions of probability measures on Polish semigroups ⋮ Some new approaches to multivariate probability distributions ⋮ Extended versions of Deny's theorem via de Finetti's theorem ⋮ Characterization of multivariate distributions through a functional equation of their characteristic functions ⋮ The convolution equation of Choquet and Deny on nilpotent groups ⋮ On the heredity of Hun and Hungarian property ⋮ Amenability, Reiter's condition and Liouville property ⋮ Generalized integrated Cauchy functional equation with applications to probability models ⋮ Comments on some papers involving the integrated Cauchy functional equation ⋮ Some unified characterization results on generalized Pareto distributions ⋮ An elementary proof for an extended version of the Choquet-Deny theorem
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