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Illumination Depth

The concept of illumination bodies studied in convex geometry is used to amend the halfspace depth for multivariate data. The proposed notion of illumination enables finer resolution of the sample points, naturally breaks ties in the associated depth-based ordering, and introduces a depth-like function for points outside the convex hull of the support of the probability measure. The illumination is, in a certain sense, dual to the halfspace depth mapping, and shares the majority of its beneficial properties. It is affine invariant, robust, uniformly consistent, and aligns well with common probability distributions. Supplementary materials for this article are available online.

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS; Vol.30 No.1 March 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 78 - 90

Bahasa

English

ISBN/ISSN

-

Klasifikasi

-

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

MULTIVARIATE ANALYSIS
CLASSIFICATION AND CLUSTERING
OUTLIER DETECTION
ILLUMINATION
HALFSPACE DEPTH
TUKEY DEPTH

Info Detail Spesifik

https://doi.org/10.1080/10618600.2020.1776717

Pernyataan Tanggungjawab

Stanislav Nagy, Jiri Dvorak

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