Multivariate medians and measure-symmetrization
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Institute of Mathematical Statistics Lecture Notes - Monograph Series

Multivariate medians and measure-symmetrization

Richard A. Vitale

Source: Regina Liu, William Strawderman and Cun-Hui Zhang, eds., Complex Datasets and Inverse Problems: Tomography, Networks and Beyond (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2007), 260-267.

Abstract

We discuss two research areas dealing respectively with (1) a class of multivariate medians and (2) a symmetrization algorithm for probability measures.

Primary Subjects: 60D05
Secondary Subjects: 52A21, 52A40, 52B12, 60E99, 62H99
Keywords: double-mean iteration; intrinsic volumes; $L_1$-median; multivariate median; Steiner formula; Steiner symmetrization; zonotope

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196794958
Digital Object Identifier: doi:10.1214/074921707000000201

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2008 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series