Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities

DOI10.1016/j.jmva.2009.04.003zbMath1196.60029arXiv0707.0221OpenAlexW2058367830MaRDI QIDQ1036783

Ilya S. Molchanov

Publication date: 13 November 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0221

zbMATH Keywords

Fourier transformspectral measureconvex bodyzonoidsupport functionstar bodymultivariate stable distributiongeneralised function

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Geometric probability and stochastic geometry (60D05) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items

Convex bodies generated by sublinear expectations of random vectors, The LYZ centroid conjecture for star bodies, Stochastic Geometry to Generalize the Mondrian Process, Orlicz-Lorentz centroid bodies, Invariance properties of random vectors and stochastic processes based on the zonoid concept, Orlicz-John ellipsoids, Starshaped sets, The Orlicz Brunn-Minkowski inequality, Diagonal Minkowski classes, zonoid equivalence, and stable laws, Geometric disintegration and star-shaped distributions, The even Orlicz Minkowski problem, A few surprising integrals, Orlicz projection bodies, On the convex hull of symmetric stable processes, Convex hulls of stable random walks

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