Computing halfspace depth contours based on the idea of a circular sequence

被引：1

作者：

Liu Xiaohui ^{[1
,2
]}

Ren Haiping ^{[3
]}

Wang Guofu ^{[4
]}

机构：

[1] Jiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Peoples R China

[2] Jiangxi Univ Finance & Econ, Res Ctr Appl Stat, Nanchang 330013, Peoples R China

[3] Jiangxi Univ Sci & Technol, Sch Software, Nanchang 330013, Peoples R China

[4] Cent S Univ, Sch Math & Stat, Changsha 417100, Hunan, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2015年 / 28卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Circular sequence; exact algorithm; halfspace depth contour; TRIMMED REGIONS; LOCATION; ALGORITHM;

D O I：

10.1007/s11424-015-3160-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a new efficient algorithm for exactly computing the halfspace depth contours based on the idea of a circular sequence. Unlike the existing methods, the proposed algorithm segments the unit sphere directly relying on the permutations that correspond to the projections of observations onto some unit directions, without having to use the technique of parametric programming. Some data examples are also provided to illustrate the performance of the proposed algorithm.

引用

页码：1399 / 1411

页数：13

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