On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models

Melek ERİŞ BÜYÜKKAYA, (Karadeniz Teknik Üniversitesi, Fen Fakültesi, İstatistik ve Bilgisayar Bilimleri Bölümü, Trabzon, Türkiye)
Nesrin GÜLER (Sakarya Üniversitesi, Siyasal Bilgiler Fakültesi, Ekonometri Bölümü, Sakarya, Türkiye)
Fundamental journal of mathematics and applications (Online)
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Yıl: 2022 Cilt: 5 Sayı: 3 Sayfa Aralığı: 192 - 200 Metin Dili: İngilizce DOI: 10.33401/fujma.1134600 İndeks Tarihi: 23-09-2022

On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models

Öz:
In this study, we consider a partitioned linear model with linear partial parameter constrains, known as a constrained partitioned linear model (CPLM), and its reduced models. A group of formulas on best linear unbiased predictors (BLUPs) and best linear unbiased estimators (BLUEs) in CPLM is derived via some quadratic matrix optimization methods, and further many basic properties of the predictors and estimators are established under some general assumptions. Our main purpose is to derive various inequalities and equalities for the comparison of covariance matrices of BLUPs and BLUEs under CPLM and its reduced models.
Anahtar Kelime: BLUP Correctly-reduced models Covariance matrix Rank

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA ERİŞ BÜYÜKKAYA M, Güler N (2022). On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. , 192 - 200. 10.33401/fujma.1134600
Chicago ERİŞ BÜYÜKKAYA Melek,Güler Nesrin On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. (2022): 192 - 200. 10.33401/fujma.1134600
MLA ERİŞ BÜYÜKKAYA Melek,Güler Nesrin On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. , 2022, ss.192 - 200. 10.33401/fujma.1134600
AMA ERİŞ BÜYÜKKAYA M,Güler N On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. . 2022; 192 - 200. 10.33401/fujma.1134600
Vancouver ERİŞ BÜYÜKKAYA M,Güler N On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. . 2022; 192 - 200. 10.33401/fujma.1134600
IEEE ERİŞ BÜYÜKKAYA M,Güler N "On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models." , ss.192 - 200, 2022. 10.33401/fujma.1134600
ISNAD ERİŞ BÜYÜKKAYA, Melek - Güler, Nesrin. "On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models". (2022), 192-200. https://doi.org/10.33401/fujma.1134600
APA ERİŞ BÜYÜKKAYA M, Güler N (2022). On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. Fundamental journal of mathematics and applications (Online), 5(3), 192 - 200. 10.33401/fujma.1134600
Chicago ERİŞ BÜYÜKKAYA Melek,Güler Nesrin On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. Fundamental journal of mathematics and applications (Online) 5, no.3 (2022): 192 - 200. 10.33401/fujma.1134600
MLA ERİŞ BÜYÜKKAYA Melek,Güler Nesrin On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. Fundamental journal of mathematics and applications (Online), vol.5, no.3, 2022, ss.192 - 200. 10.33401/fujma.1134600
AMA ERİŞ BÜYÜKKAYA M,Güler N On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. Fundamental journal of mathematics and applications (Online). 2022; 5(3): 192 - 200. 10.33401/fujma.1134600
Vancouver ERİŞ BÜYÜKKAYA M,Güler N On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models. Fundamental journal of mathematics and applications (Online). 2022; 5(3): 192 - 200. 10.33401/fujma.1134600
IEEE ERİŞ BÜYÜKKAYA M,Güler N "On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models." Fundamental journal of mathematics and applications (Online), 5, ss.192 - 200, 2022. 10.33401/fujma.1134600
ISNAD ERİŞ BÜYÜKKAYA, Melek - Güler, Nesrin. "On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models". Fundamental journal of mathematics and applications (Online) 5/3 (2022), 192-200. https://doi.org/10.33401/fujma.1134600
Sayfa Oluşturulma Tarihi
24-04-2024 3:22

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