Heteroscedastic additive models - Estimating the fixed effects and covariance matrix parameters

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dc.contributor.authorSilva, Adilson
dc.contributor.authorFonseca, Miguel
dc.date.accessioned2025-01-06T17:22:37Z
dc.date.available2025-01-06T17:22:37Z
dc.date.issued2021
dc.departmentAdana Alparslan Türkeş Bilim ve Teknoloji Üniversitesi
dc.description.abstractThis work aims to deduce estimators for the unknown parameters of fixed effects and covariance matrix structure in heteroscedastic additive design. In order to do that, the design will be projected onto the orthogonal complement of the subspace spanned by columns of design matrix for the fixed effects, and the Kronecker product will be used to produced unbiased estimators for the parameters of covariance matrix, and then such estimators used to produce an estimator for the fixed effect vector. Moreover, the coefficient of determination for both fixed effects and covariance structure will be derived. A simulation study will be conducted, and a numerical example will be explored. 
dc.identifier.doi10.15672/hujms.647481
dc.identifier.endpage593
dc.identifier.issn1303-5010
dc.identifier.issn2651-477X
dc.identifier.issue2
dc.identifier.startpage579
dc.identifier.trdizinid492878
dc.identifier.urihttps://doi.org/10.15672/hujms.647481
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/492878
dc.identifier.urihttps://hdl.handle.net/20.500.14669/416
dc.identifier.volume50
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241211
dc.subjectOrthogonal matrix
dc.subjectheteroscedasticity
dc.subjectadditive design
dc.subjectKronecker product
dc.titleHeteroscedastic additive models - Estimating the fixed effects and covariance matrix parameters
dc.typeArticle

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