Publication:
Shape outlier detection and visualization for functional data: the outliergram

Simple item page
dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorArribas Gil, Ana
dc.contributor.authorRomo, Juan
dc.date.accessioned2021-07-15T10:42:32Z
dc.date.available2021-07-15T10:42:32Z
dc.date.issued2014-10-01
dc.description.abstractWe propose a new method to visualize and detect shape outliers in samples of curves. In functional data analysis we observe curves defined over a given real interval and shape outliers may be defined as those curves that exhibit a different shape from the rest of the sample. Whereas magnitude outliers, that is, curves that lie outside the range of the majority of the data, are in general easy to identify, shape outliers are often masked among the rest of the curves and thus difficult to detect. In this article we exploit the relation between two measures of depth for functional data to help visualizing curves in terms of shape and to develop an algorithm for shape outlier detection. We illustrate the use of the visualization tool, the outliergram, through several examples and assess the performance of the algorithm on a simulation study. Finally, we apply our method to identify outliers in real data sets of growth and mortality curves.en
dc.identifier.bibliographicCitationArribas-Gil, A., & Romo, J. (2014). Shape outlier detection and visualization for functional data: the outliergram. Biostatistics, 15(4), 603–619
dc.identifier.doihttps://doi.org/10.1093/biostatistics/kxu006
dc.identifier.issn1465-4644
dc.identifier.publicationfirstpage603
dc.identifier.publicationissue4
dc.identifier.publicationlastpage619
dc.identifier.publicationtitleBiostatistics
dc.identifier.publicationvolume15
dc.identifier.urihttps://hdl.handle.net/10016/33087
dc.identifier.uxxiAR/0000015775
dc.language.isoeng
dc.publisherOxford University Press
dc.rights©The Author 2013. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com
dc.rights.accessRightsopen access
dc.subject.ecienciaEstadísticaes
dc.subject.otherDepth for functional dataen
dc.subject.otherOutlier visualizationen
dc.subject.otherRobust estimationen
dc.subject.otherTime course microarray dataen
dc.subject.otherBoxplotsen
dc.subject.otherDepthen
dc.titleShape outlier detection and visualization for functional data: the outliergramen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
shape_biostatistics_2014_ps.pdf
Size:
1.34 MB
Format:
Adobe Portable Document Format
Download
Collections
DES - Artículos de Revistas