Robustifying principal component analysis with spatial sign vectors

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dc.contributor.author Taskinen, Sara
dc.contributor.author Koch, Inge
dc.contributor.author Oja, Hannu
dc.date.accessioned 2012-11-30T12:47:16Z
dc.date.available 2012-11-30T12:47:16Z
dc.date.issued 2012 fi
dc.identifier.citation Taskinen, S., Koch, I., & Oja, H. (2012). Robustifying principal component analysis with spatial sign vectors. Statistics and Probability Letters, 82 (4), 765 774. doi:10.1016/j.spl.2012.01.001 fi
dc.identifier.issn 0167-7152
dc.identifier.other TUTKAID_50580
dc.identifier.uri http://hdl.handle.net/123456789/40497
dc.description.abstract In this paper, we apply orthogonally equivariant spatial sign covariance matrices as well as their affine equivariant counterparts in principal component analysis. The influence functions and asymptotic covariance matrices of eigenvectors based on robust covariance estimators are derived in order to compare the robustness and efficiency properties. We show in particular that the estimators that use pairwise differences of the observed data have very good efficiency properties, providing practical robust alternatives to classical sample covariance matrix based methods. fi
dc.language.iso eng
dc.publisher Elsevier
dc.relation.ispartof Statistics and Probability Letters
dc.rights © Elsevier. This is a pre-print version of an article whose final and definitive form has been published by Elsevier.
dc.subject.other Affiinisti ekvivarianttisuus
dc.subject.other tehokkuus
dc.subject.other vaikutusfunktio
dc.subject.other robustisuus
dc.subject.other spatiaalinen merkkivektori
dc.subject.other Affine equivariance
dc.subject.other efficiency
dc.subject.other influence function
dc.subject.other robustness fi
dc.subject.other spatial sign vector
dc.title Robustifying principal component analysis with spatial sign vectors
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-201211293124
dc.subject.kota 112
dc.contributor.laitos Matematiikan ja tilastotieteen laitos fi
dc.contributor.laitos Department of Mathematics and Statistics en
dc.contributor.oppiaine tilastotiede fi
jyx.tutka.volyme 82
jyx.tutka.mnumber 4
jyx.tutka.pagetopage 765 774
dc.type.uri http://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi 10.1016/j.spl.2012.01.001
dc.date.updated 2012-11-29T10:40:00Z
dc.description.version Pre-print version
eprint.status http://purl.org/eprint/type/status/PeerReviewed

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