Genelleştirilmiş maksimum entropi yöntemi ile eksik sunumlu (Ill-Posed) çoklu regresyon modelinin parametrelerine biricik tahmin.
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| Title: | Genelleştirilmiş maksimum entropi yöntemi ile eksik sunumlu (Ill-Posed) çoklu regresyon modelinin parametrelerine biricik tahmin. |
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| Alternate Title: | Unique estimation of parameters of an Ill-Posed multiple regression model using the generalized maximum entropy method. |
| Authors: | Çabuk, Selin1 selncabuk@cu.edu.tr |
| Source: | Journal of the Faculty of Engineering & Architecture of Gazi University / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi,. Mar2026, Vol. 41 Issue 1, p357-366. 10p. |
| Subjects: | Maximum entropy method, Parameter estimation, Linear statistical models, Multicollinearity, Regression analysis, Linear systems |
| Abstract (English): | In this study, an ill-posed linear regression model representing an underdetermined sample set, where the number of observations is smaller than the number of unknown parameters, was considered. In this model, the issue of multicollinearity, which frequently occurs among the columns of the design matrix X, was discussed. When both ill-posedness and multicollinearity are present, the generalized maximum entropy (GME) method--proposed as a solution to these problems and capable of providing unique parameter estimates--was employed to estimate the parameters of the linear regression model. The estimates obtained from the GME method were compared with those derived from the least squares g-inverse method, which is also used for estimating the parameters of ill-po sed regression models but does not yield unique estimates. [ABSTRACT FROM AUTHOR] |
| Abstract (Turkish): | Bu çalışmada, bilinmeyen parametre sayısından daha az sayıda gözlem sayısı olan bir örneklem kümesini simgeleyen eksik-sunumlu (ill-posed) lineer regresyon modeli düşünüldü. Bu modelde, X tasarım matrisinin kolonları arasında sık olarak görülen içilişki problemi tartışıldı. Eksik-sunumluluk ve beraberinde içilişki problemi söz konusu olduğunda lineer regresyon modelinin parametrelerini tahmin etmede, bu problemlerin çözümü için ortaya atılan ve biricik(unique) tahmin değerleri elde etmeye olanak tanıyan genelleştirilmiş maksimum entropi yöntemi kullanıldı. Eksik sunumlu regresyon modelinin parametrelerini tahmin etmede kullanılan, ancak biricik tahmin değerleri elde edilemeyen en küçük kareler g-inverse (EKK g-inverse) yöntemi ile elde edilen tahmin değerleri ile karşılaştırıldı. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of the Faculty of Engineering & Architecture of Gazi University / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, is the property of Gazi University, Faculty of Engineering & Architecture and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192992945 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Genelleştirilmiş maksimum entropi yöntemi ile eksik sunumlu (Ill-Posed) çoklu regresyon modelinin parametrelerine biricik tahmin. – Name: TitleAlt Label: Alternate Title Group: TiAlt Data: Unique estimation of parameters of an Ill-Posed multiple regression model using the generalized maximum entropy method. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Çabuk%2C+Selin%22">Çabuk, Selin</searchLink><relatesTo>1</relatesTo><i> selncabuk@cu.edu.tr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Faculty+of+Engineering+%26+Architecture+of+Gazi+University+%2F+Gazi+Üniversitesi+Mühendislik+Mimarlık+Fakültesi+Dergisi%2C%22">Journal of the Faculty of Engineering & Architecture of Gazi University / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi,</searchLink>. Mar2026, Vol. 41 Issue 1, p357-366. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Maximum+entropy+method%22">Maximum entropy method</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+statistical+models%22">Linear statistical models</searchLink><br /><searchLink fieldCode="DE" term="%22Multicollinearity%22">Multicollinearity</searchLink><br /><searchLink fieldCode="DE" term="%22Regression+analysis%22">Regression analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink> – Name: Abstract Label: Abstract (English) Group: Ab Data: In this study, an ill-posed linear regression model representing an underdetermined sample set, where the number of observations is smaller than the number of unknown parameters, was considered. In this model, the issue of multicollinearity, which frequently occurs among the columns of the design matrix X, was discussed. When both ill-posedness and multicollinearity are present, the generalized maximum entropy (GME) method--proposed as a solution to these problems and capable of providing unique parameter estimates--was employed to estimate the parameters of the linear regression model. The estimates obtained from the GME method were compared with those derived from the least squares g-inverse method, which is also used for estimating the parameters of ill-po sed regression models but does not yield unique estimates. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Abstract (Turkish) Group: Ab Data: Bu çalışmada, bilinmeyen parametre sayısından daha az sayıda gözlem sayısı olan bir örneklem kümesini simgeleyen eksik-sunumlu (ill-posed) lineer regresyon modeli düşünüldü. Bu modelde, X tasarım matrisinin kolonları arasında sık olarak görülen içilişki problemi tartışıldı. Eksik-sunumluluk ve beraberinde içilişki problemi söz konusu olduğunda lineer regresyon modelinin parametrelerini tahmin etmede, bu problemlerin çözümü için ortaya atılan ve biricik(unique) tahmin değerleri elde etmeye olanak tanıyan genelleştirilmiş maksimum entropi yöntemi kullanıldı. Eksik sunumlu regresyon modelinin parametrelerini tahmin etmede kullanılan, ancak biricik tahmin değerleri elde edilemeyen en küçük kareler g-inverse (EKK g-inverse) yöntemi ile elde edilen tahmin değerleri ile karşılaştırıldı. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of the Faculty of Engineering & Architecture of Gazi University / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, is the property of Gazi University, Faculty of Engineering & Architecture and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.17341/gazimmfd.1663462 Languages: – Code: tur Text: Turkish PhysicalDescription: Pagination: PageCount: 10 StartPage: 357 Subjects: – SubjectFull: Maximum entropy method Type: general – SubjectFull: Parameter estimation Type: general – SubjectFull: Linear statistical models Type: general – SubjectFull: Multicollinearity Type: general – SubjectFull: Regression analysis Type: general – SubjectFull: Linear systems Type: general Titles: – TitleFull: Genelleştirilmiş maksimum entropi yöntemi ile eksik sunumlu (Ill-Posed) çoklu regresyon modelinin parametrelerine biricik tahmin. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Çabuk, Selin IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 13001884 Numbering: – Type: volume Value: 41 – Type: issue Value: 1 Titles: – TitleFull: Journal of the Faculty of Engineering & Architecture of Gazi University / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, Type: main |
| ResultId | 1 |
