Positive definite symmetric functions on finite-dimensional spaces. II

DOI10.1016/0167-7152(85)90065-3zbMath0645.60019OpenAlexW1978593520MaRDI QIDQ1103256

Donald St. P. Richards

Publication date: 1985

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(85)90065-3

zbMATH Keywords

characteristic functionIntegral representations\(\alpha \)-symmetric distributionsspectral measure of a symmetric stable random vector

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

The Busemann--Petty problem via spherical harmonics., Counts-of-counts similarity for prediction and search in relational data, Criteria of Pólya type for radial positive definite functions, On the use of non-Euclidean distance measures in geostatistics, Limit problems for interpolation by analytic radial basis functions, On positive definiteness of some functions, Positive definite norm dependent functions on \(\ell ^{\infty}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On alpha-symmetric multivariate distributions
• Some remarks on multivariate stable distributions
• Potentials and isometric embeddings in \(L_1\)
• Zu einem Problem von Shephard über die Projektionen konvexer Körper
• Metric spaces and completely monontone functions
• A Class of Negative-Definite Functions
• Generating Functions for Bessel and Related Polynomials