The expected convex hull trimmed regions of a sample |
| |
Authors: | Ignacio Cascos |
| |
Affiliation: | (1) Department of Statistics, Universidad Carlos III de Madrid, Av. Universidad 30, 28911 Leganés (Madrid), Spain |
| |
Abstract: | Given a data set in the multivariate Euclidean space, we study regions of central points built by averaging all their subsets with a fixed number of elements. The averaging of these sets is performed by appropriately scaling the Minkowski or elementwise summation of their convex hulls. The volume of such central regions is proposed as a multivariate scatter estimate and a circular sequence algorithm to compute the central regions of a bivariate data set is described. Extended version of the conference paper Cascos (2006) presented at the 17th Conference of the European Regional Section of the International Association for Statistical Computing (COMPSTAT 2006, Rome, Italy, August 28–September 1, 2006). Supported by the Spanish Ministry of Education and Science under grant MTM2005-02254. |
| |
Keywords: | Convex hull Depth function Depth-trimmed regions Minkowski sum Multivariate scatter estimate |
本文献已被 SpringerLink 等数据库收录! |
|