期刊文献+

统计深度的几何推广

A Geometric Generalization of Statistical Depth
原文传递
导出
摘要 改进统计深度的定义,并将点的深度概念推广到直线与平面的深度,由此得到深度计算的基本定理和深度的一系列性质.最后讨论应用展望. In this article,the definition of statistical depth is improved based on open halfs-pace and generalized to the depth of an affine subspace for the point set.Basic theorems for computing the depth and a series of properties for depth are obtained.
出处 《数学的实践与认识》 CSCD 北大核心 2010年第6期178-182,共5页 Mathematics in Practice and Theory
关键词 统计深度 几何推广 等深集 等深区域 statistical depth geometric generalization isodepth set isodepth region
  • 相关文献

参考文献5

  • 1Tukey J W. Mathematics and the picturing of data[C]//Vancouver: Proceedings of the International Congress of Mathematicians, 1975, 2: 523-531.
  • 2Barnnet V. The ordering of multivariate data[J]. J Roy Statist Soc Ser A, 1976, 139(3): 318-355.
  • 3Liu R Y, Parelius J and Singh K. Multivariate analysis by data depth: Descriptive statistics, graphics and inference[J]. The Annals of Statistics, 1999, 27: 783-840.
  • 4Rousseeuw P J and Ruts I. Algorithm AS 307: Bivariate location depth[J]. Applied Statistics(JRSS- C), 1996, 45: 516-526.
  • 5Struyf A and Rousseeuw P. High-dimensional computation of the deepest location[J]. Computational Statistics and Data Analysis, 2000, 34: 415-426.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部