This paper proposes a general class of multivariate skew-elliptical distributions. We extend earlier results on the so-called multivariate skew-normal distribution. This family of distributions contains the multivariate normal, Student's t, exponential power, and Pearson type II, but with an extra p
On a general class of multivariate linear smoothing operators
β Scribed by C.K Chui; T.X He; L.C Hsu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 587 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
We consider the problem of multivariate convex approximation by positive linear operators. Let E be a k-dimensional compact convex set in R k with k 2, 0/R k an open set containing E, and let L: C(E ) Γ C 1 (0) be a positive linear operator. Our main result of this paper shows that if L preserves co
## Abstract The aim of this note is to study the spectral properties of the LUECKE's class __R__ of operators __T__ such that β(__T β zI__)^β1^β=1/__d__(__z, W__(__T__)) for all __z__β__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__