Scalar Statistics Which Have Constant Regression on the Mean of a Riesz Distribution

DOI10.1080/03610920600762004zbMath1105.62053OpenAlexW1971361012MaRDI QIDQ3424228

Sallouha Lajmi

Publication date: 15 February 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600762004

zbMATH Keywords

Jordan algebrasymmetric coneRiesz distributionconstant regression

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (2)

The Riesz probability distribution: Generation and EM algorithm ⋮ A new symbolic calculus for the response of nonlinear systems

Cites Work

• Unnamed Item
• Natural real exponential families with cubic variance functions
• Use of the hyperbolic differential operator to find a scalar statistic which has constant regression on the mean of a sample of Wishart matrices
• Natural exponential families with quadratic variance functions
• An extended Laha-Lukacs characterization result based on a regression property
• Riesz exponential families on symmetric cones

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