Handbook of Discrete and Computational Geometry, Third Edition

Abstract

Bagdistance: Generalized norm on R d based on halfspace depth regions.Bagplot: Bivariate generalization of the boxplot based on depth regions.Breakdown value: The smallest fraction of contaminated data points that can move the estimator arbitrarily far away.Centerpoint: Any point with halfspace depth ⌈n/(d + 1)⌉.Deepest fit: Median hyperplane based on regression depth.Depth: The outside-inward "rank" of a point (not necessarily a data point). Depth region:The set of all points with depth k is called the kth depth region D k . Median:The point with maximal depth.When this point is not unique, the median is taken to be the centroid of the depth region with highest depth.Tukey median: Median based on halfspace depth.

Locations

• Lirias (KU Leuven) - View - PDF
• Chapman and Hall/CRC eBooks - View