Characterization of multivariate distributions through a functional equation of their characteristic functions

DOI10.1016/S0378-3758(97)00010-4zbMath1007.62514OpenAlexW2089942796MaRDI QIDQ1372402

Arjun K. Gupta, Wei-Bin Zeng, Truc T. Nguyen

Publication date: 27 March 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(97)00010-4

zbMATH Keywords

characteristic functionsintegrated Cauchy functional equationstable distributionsinfinite divisibilityregressionlinear statisticssemi-stable

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Characteristic functions; other transforms (60E10)

Related Items (5)

On characterization of multivariate stable distributions via random linear statistics ⋮ Homomorphisms from Functional Equations in Probability ⋮ Bivariate, multivariate, and matrix variate normal characterizations: A brief survey II ⋮ Generalized integrated Cauchy functional equation with applications to probability models ⋮ A direct approach to the stable distributions

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