Isotropy and sphericity: Some characterisations of the normal distribution

DOI10.1214/aos/1176345406zbMath0462.62014OpenAlexW2016881605MaRDI QIDQ1152916

Gérard Letac

Publication date: 1981

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176345406

zbMATH Keywords

Hilbert spacesnormal distributionisotropysphericityCauchy distributioncylindrical distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Characterization and structure theory of statistical distributions (62E10) Probability theory on linear topological spaces (60B11) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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