✦ LIBER ✦

The Tukey Depth Characterizes the Atomic Measure

✍ Scribed by Gleb A. Koshevoy

Book ID: 102603997
Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 86 KB
Volume: 83
Category: Article
ISSN: 0047-259X
DOI: 10.1006/jmva.2001.2052

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that if the Tukey depths of two atomic measures are identical, then the measures are also identical.

📜 SIMILAR VOLUMES

On the Tukey depth of an atomic measure

✍ A. Hassairi; O. Regaieg 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 176 KB

On the Tukey depth of a continuous proba

On the Tukey depth of a continuous probability distribution

✍ Abdelhamid Hassairi; Ons Regaieg 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 228 KB

Balanced Confidence Regions Based on Tuk

Balanced Confidence Regions Based on Tukey’s Depth and the Bootstrap

✍ Arthur B. Yeh; Kesar Singh 📂 Article 📅 1997 🏛 Blackwell Publishing 🌐 English ⚖ 218 KB

Finite sample tail behavior of the multi

Finite sample tail behavior of the multivariate trimmed mean based on Tukey-Donoho halfspace depth

✍ Yijun Zuo 📂 Article 📅 2000 🏛 Springer 🌐 English ⚖ 70 KB

Halfspace Depth and Regression Depth Cha

Halfspace Depth and Regression Depth Characterize the Empirical Distribution

✍ Anja J Struyf; Peter J Rousseeuw 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 332 KB

For multivariate data, the halfspace depth function can be seen as a natural and affine equivariant generalization of the univariate empirical cdf. For any multivariate data set, we show that the resulting halfspace depth function completely determines the empirical distribution. We do this by actua

Influence of the Primary Ion Beam on the

Influence of the Primary Ion Beam on the Depth Distribution of Implanted Atoms Measured by SIMS

✍ Sielanko, J. 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 244 KB