Letac, Gerard Isotropy and sphericity: Some characterisations of the normal distribution. (English) Zbl 0462.62014 Ann. Stat. 9, 408-417 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 Documents MSC: 62E10 Characterization and structure theory of statistical distributions 60B11 Probability theory on linear topological spaces 62H10 Multivariate distribution of statistics 60B15 Probability measures on groups or semigroups, Fourier transforms, factorization Keywords:isotropy; sphericity; normal distribution; Hilbert spaces; Cauchy distribution; cylindrical distribution PDFBibTeX XMLCite \textit{G. Letac}, Ann. Stat. 9, 408--417 (1981; Zbl 0462.62014) Full Text: DOI