Search Results - subject:"halfspace depth"

Fast computation of Tukey trimmed regions and median in dimension p > 2

Liu, Xiaohui; Mosler, Karl C.; Mozharovskyi, Pavlo - 2017

Persistent link: https://www.econbiz.de/10012200059

Estimation of extreme depth-based quantile regions

He, Yi; Einmahl, John H. J. - 2014

Persistent link: https://www.econbiz.de/10011282830

Estimation of Extreme Depth-Based Quantile Regions

Einmahl, John; He, Y. - Tilburg University, Center for Economic Research - 2014

Consider the extreme quantile region, induced by the halfspace depth function HD, of the form Q = fx 2 Rd : HD(x; P) g … since the sample halfspace depth is 0 outside the convex hull of the data. Using Extreme Value Theory, we construct a …

Persistent link: https://www.econbiz.de/10011090341

Local Constant and Local Bilinear Multiple-Output Quantile Regression

Hallin, Marc; Paindaveine, Davy; Lu, Zudi; Siman, Miroslav - European Centre for Advanced Research in Economics and … - 2012

contours, which both allow to asymptotically recover the conditional halfspace depth contours of the response. In the multiple …

Persistent link: https://www.econbiz.de/10009397094

Rainbow plots, Bagplots and Boxplots for Functional Data

Hyndman, Rob J.; Shang, Han Lin - Department of Econometrics and Business Statistics, … - 2008

We propose new tools for visualizing large numbers of functional data in the form of smooth curves or surfaces. The proposed tools include functional versions of the bagplot and boxplot, and make use of the first two robust principal component scores, Tukey's data depth and highest density...

Persistent link: https://www.econbiz.de/10005427617

Computing multiple-output regression quantile regions from projection quantiles

Paindaveine, Davy; Šiman, Miroslav - In: Computational Statistics 27 (2012) 1, pp. 29-49

Persistent link: https://www.econbiz.de/10010998436

Computing multiple-output regression quantile regions

Paindaveine, Davy; Šiman, Miroslav - In: Computational Statistics & Data Analysis 56 (2012) 4, pp. 840-853

been defined recently. In the location case, this procedure allows for computing halfspace depth regions even beyond …

Persistent link: https://www.econbiz.de/10011056415

Multivariate quantiles and multiple-output regression quantiles: From L1 optimization to halfspace depth

Hallin, Marc; Paindaveine, Davy; Šiman, Miroslav - Solvay Brussels School of Economics and Management, … - 2010

Persistent link: https://www.econbiz.de/10011011620

A note on simplicial depth function

Romanazzi, Mario - In: AStA Advances in Statistical Analysis 92 (2008) 3, pp. 235-253

Persistent link: https://www.econbiz.de/10005598068

The Tukey Depth Characterizes the Atomic Measure

Koshevoy, Gleb A. - In: Journal of Multivariate Analysis 83 (2002) 2, pp. 360-364

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

Persistent link: https://www.econbiz.de/10005153224