zonoid


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zonoid

(ˈzəʊnɔɪd)
n
a finite vector sum of line segments
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References in periodicals archive ?
Alexander, Zonoid theory and Hilbert's fouth problem, Geom.
Weil, Zonoids and generalizations, Handbook of Convex Geometry (P.M.
Weil, Zonoids and related topics, Convexity and its applications, Birkhauser, Basel, (1983), 296-317.
Other depths include the zonoid depth [5]or [L.sub.1] depth [6]among many others.
This method was used, for example, by Mosler and Hoberg [11] who combined zonoid and Mahalanobis depth.
Mosler, "Zonoid trimming for multivariate distributions," Annals of Statistics, vol.
Extremum problems for the metric mean values will be discussed at the end of the paper by introducing an associated zonoid for STIT tessellations.
The centrally symmetric convex body [PI]([S.sub.v], R) is called Steiner compact associated with the law of the STIT tessellation or its associated zonoid, by referring to the characteristic property of [PI]([S.sub.v], R).
Pajor, "Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space," in Geometric Aspects of Functional Analysis, vol.
26] cite Beck and Chen [3] and use a diameter-bounded equal area partition of [S.sup.n-1] to prove their Theorem 1 on the approximation of zonoids by zonotopes.
Reisner, Zonoids with minimal volume producta new proof, Proc.
Vitale, Expected absolute random determinants and zonoids, Ann.