Pokotylo, Oleksii, Mozharovskyi, Pavlo and Dyckerhoff, Rainer (2019). Depth and Depth-Based Classification with R Package ddalpha. J. Stat. Softw., 91 (5). LOS ANGELES: JOURNAL STATISTICAL SOFTWARE. ISSN 1548-7660

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Abstract

Following the seminal idea of Tukey (1975), data depth is a function that measures how close an arbitrary point of the space is located to an implicitly defined center of a data cloud. Having undergone theoretical and computational developments, it is now employed in numerous applications with classification being the most popular one. The R package ddalpha is a software directed to fuse experience of the applicant with recent achievements in the area of data depth and depth-based classification. ddalpha provides an implementation for exact and approximate computation of most reasonable and widely applied notions of data depth. These can be further used in the depth-based multivariate and functional classifiers implemented in the package, where the DD alpha-procedure is in the main focus. The package is expandable with user-defined custom depth methods and separators. The implemented functions for depth visualization and the built-in benchmark procedures may also serve to provide insights into the geometry of the data and the quality of pattern recognition.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Pokotylo, OleksiiUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Mozharovskyi, PavloUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Dyckerhoff, RainerUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-132065
DOI: 10.18637/jss.v091.i05
Journal or Publication Title: J. Stat. Softw.
Volume: 91
Number: 5
Date: 2019
Publisher: JOURNAL STATISTICAL SOFTWARE
Place of Publication: LOS ANGELES
ISSN: 1548-7660
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
HALF-SPACE DEPTH; FUNCTIONAL DATA; MULTIVARIATE; REGRESSION; ALGORITHM; NOTIONMultiple languages
Computer Science, Interdisciplinary Applications; Statistics & ProbabilityMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/13206

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