A new GM-estimate with high breakdown point

Basit Öğe Kaydı
dc.authoridErenoğlu, Ramazan Cüneyt / 0000-0002-8212-8379
dc.contributor.authorHekimoğlu, Şerif
dc.contributor.authorErenoğlu, Ramazan Cüneyt
dc.date.accessioned2025-01-27T20:16:53Z
dc.date.available2025-01-27T20:16:53Z
dc.date.issued2013
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe breakdown point of GM-estimators does not exceed 1/(p+1) where p is dimension of explanatory variables in linear regression. One proposes a new version of the GM-estimation with a high breakdown point (HBGM) to provide high resistance against leverage points and vertical outliers. This paper presents a technique aimed at routinely normalized and robustified Euclidean distance among data points for finding leverage points and gross errors in the x- and y-directions, respectively. In addition, a graphical visualization is simultaneously used to display which points are leverage and gross error. Finally, weights of flagged data points will be decreased to a certain value before applying M-estimator. Since robustification and normalization procedures are completely based on the median estimator with the highest breakdown point, the proposed method has a conditional breakdown point of 50% theoretically. The technique was tested with simulated data and also real data set containing the series of landslide deformation. Tests were performed for linear regression models including different scenarios. Consequently, the experimental results showed that the proposed method reaches up to a 50% of breakdown point. Morever, the HBGM method is less time- consuming in parameter estimation.
dc.identifier.doi10.1007/s40328-013-0029-1
dc.identifier.endpage437
dc.identifier.issn2213-5812
dc.identifier.issn2213-5820
dc.identifier.issue4
dc.identifier.scopus2-s2.0-84890474928
dc.identifier.scopusqualityQ2
dc.identifier.startpage419
dc.identifier.urihttps://doi.org/10.1007/s40328-013-0029-1
dc.identifier.urihttps://hdl.handle.net/20.500.12428/21424
dc.identifier.volume48
dc.identifier.wosWOS:000327068800005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofActa Geodaetica Et Geophysica
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectHigh breakdown point
dc.subjectGM-estimation
dc.subjectOutliers
dc.subjectLeverage point
dc.subjectVertical outliers
dc.titleA new GM-estimate with high breakdown point
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
Ramazan Cuneyt Erenoglu_Makale.pdf
Boyut:
717.01 KB
Biçim:
Adobe Portable Document Format
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Harita Mühendisliği Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu