What is the relation between smearing effect of least squares estimation and its influence function?

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dc.authorid0000-0003-2049-6587en_US
dc.contributor.authorDurdağ, Utkan Mustafa
dc.contributor.authorHekimoğlu, Şerif
dc.contributor.authorErdoğan, Bahattin
dc.date.accessioned2021-07-06T06:18:49Z
dc.date.available2021-07-06T06:18:49Z
dc.date.issued2021
dc.departmentAÇÜ, Mühendislik Fakültesi, Harita Mühendisliği Bölümüen_US
dc.description.abstractIn some cases, tests for outliers and robust methods based on the Least Square Estimation (LSE) fail to detect and isolate outliers. LSE ’smears the effect’ of an outlier on all estimates of the residuals, the unknowns, and the a posteriori variance of unit weight. Therefore as bias goes to infinity, the Influence Function (IF) also goes to infinity. This study aims to investigate the effect of an outlier on the unknown parameters, etc., compared to the IF concept. Moreover, how the ratio of the resulting outlier effect is related to the redundancy of the geodetic network has been shown through the concepts of Sensitivity Curve (SC) and smearing effect by Monte Carlo Simulation. Also, it has proved that the SC of LSE was almost equal to the ‘smearing effect’ of LSE, which behaves systematically as a function of the partial redundancy that varies from one residual to another in the geodetic network.
dc.identifier.citationDurdağ, U. M., Hekimoğlu, S., & Erdoğan, B. (2021). What is the relation between smearing effect of least squares estimation and its influence function?. Survey Review, 1-12.en_US
dc.identifier.doi10.1080/00396265.2021.1939590
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://hdl.handle.net/11494/3264
dc.identifier.volumeArticle in presen_US
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDurdağ, Utkan Mustafa
dc.language.isoenen_US
dc.publisherTaylor and Francis Ltd.en_US
dc.relation.ispartofSurvey Review
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInfluence functionen_US
dc.subjectSensitivity curveen_US
dc.subjectLeast squares estimationen_US
dc.subjectMedian Outlier diagnosticsen_US
dc.titleWhat is the relation between smearing effect of least squares estimation and its influence function?en_US
dc.typeArticle

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