Ma, Rong; Tian, Yongge A matrix approach to a general partitioned linear model with partial parameter restrictions. (English) Zbl 1498.15002 Linear Multilinear Algebra 70, No. 13, 2513-2532 (2022). MSC: 15A06 15B52 15A09 62H12 62J05 PDFBibTeX XMLCite \textit{R. Ma} and \textit{Y. Tian}, Linear Multilinear Algebra 70, No. 13, 2513--2532 (2022; Zbl 1498.15002) Full Text: DOI
Sun, Yuqin; Jiang, Hong; Tian, Yongge A prediction analysis in a constrained multivariate general linear model with future observations. (English) Zbl 07532125 Commun. Stat., Theory Methods 50, No. 2, 345-357 (2021). MSC: 15A09 62H12 62H25 62J05 62-XX PDFBibTeX XMLCite \textit{Y. Sun} et al., Commun. Stat., Theory Methods 50, No. 2, 345--357 (2021; Zbl 07532125) Full Text: DOI
Tian, Yongge; Wang, Jie Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model. (English) Zbl 1511.62159 Commun. Stat., Theory Methods 49, No. 5, 1201-1216 (2020). MSC: 62J05 15A09 62F30 62H12 62J20 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{J. Wang}, Commun. Stat., Theory Methods 49, No. 5, 1201--1216 (2020; Zbl 1511.62159) Full Text: DOI
Jiang, Bo; Tian, Yongge Rank/inertia approaches to weighted least-squares solutions of linear matrix equations. (English) Zbl 1426.15020 Appl. Math. Comput. 315, 400-413 (2017). MSC: 15A24 15A09 62H12 62J05 PDFBibTeX XMLCite \textit{B. Jiang} and \textit{Y. Tian}, Appl. Math. Comput. 315, 400--413 (2017; Zbl 1426.15020) Full Text: DOI
Tian, Yongge Matrix rank and inertia formulas in the analysis of general linear models. (English) Zbl 1359.15003 Open Math. 15, 126-150 (2017). MSC: 15A03 15A09 62H12 62J05 PDFBibTeX XMLCite \textit{Y. Tian}, Open Math. 15, 126--150 (2017; Zbl 1359.15003) Full Text: DOI
Tian, Yongge; Guo, Wenxing On comparison of dispersion matrices of estimators under a constrained linear model. (English) Zbl 1392.62209 Stat. Methods Appl. 25, No. 4, 623-649 (2016). MSC: 62J05 15A09 62H12 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{W. Guo}, Stat. Methods Appl. 25, No. 4, 623--649 (2016; Zbl 1392.62209) Full Text: DOI
Tian, Yongge; Jiang, Bo An algebraic study of BLUPs under two linear random-effects models with correlated covariance matrices. (English) Zbl 1358.15012 Linear Multilinear Algebra 64, No. 12, 2351-2367 (2016). Reviewer: Chen Sheng (Harbin) MSC: 15A24 15A09 62H12 62J05 62J10 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{B. Jiang}, Linear Multilinear Algebra 64, No. 12, 2351--2367 (2016; Zbl 1358.15012) Full Text: DOI
Tian, Yongge A matrix handling of predictions of new observations under a general random-effects model. (English) Zbl 1329.62321 Electron. J. Linear Algebra 29, 30-45 (2015). MSC: 62J05 15A09 62H12 PDFBibTeX XMLCite \textit{Y. Tian}, Electron. J. Linear Algebra 29, 30--45 (2015; Zbl 1329.62321) Full Text: DOI
Tian, Yongge; Zhang, Jieping Some equalities for estimations of partial coefficients under a general linear regression model. (English) Zbl 1229.62075 Stat. Pap. 52, No. 4, 911-920 (2011). MSC: 62H12 62J05 15A09 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{J. Zhang}, Stat. Pap. 52, No. 4, 911--920 (2011; Zbl 1229.62075) Full Text: DOI
Tian, Yongge; Tian, Zhe On additive and block decompositions of WLSEs under a multiple partitioned regression model. (English) Zbl 1283.62146 Statistics 44, No. 4, 361-379 (2010). MSC: 62J05 62H12 15A09 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Z. Tian}, Statistics 44, No. 4, 361--379 (2010; Zbl 1283.62146) Full Text: DOI
Tian, Yong Ge Estimations of parametric functions under a system of linear regression equations with correlated errors. (English) Zbl 1197.62062 Acta Math. Sin., Engl. Ser. 26, No. 10, 1927-1942 (2010). MSC: 62H12 62J05 15A09 PDFBibTeX XMLCite \textit{Y. G. Tian}, Acta Math. Sin., Engl. Ser. 26, No. 10, 1927--1942 (2010; Zbl 1197.62062) Full Text: DOI
Tian, Yongge On equalities of estimations of parametric functions under a general linear model and its restricted models. (English) Zbl 1197.62020 Metrika 72, No. 3, 313-330 (2010). MSC: 62F10 62J05 15A09 62F30 PDFBibTeX XMLCite \textit{Y. Tian}, Metrika 72, No. 3, 313--330 (2010; Zbl 1197.62020) Full Text: DOI
Tian, Yongge; Liu, Chunmei Some equalities for estimations of variance components in a general linear model and its restricted and transformed models. (English) Zbl 1203.62107 J. Multivariate Anal. 101, No. 9, 1959-1969 (2010). MSC: 62H12 62J05 62J10 15A09 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{C. Liu}, J. Multivariate Anal. 101, No. 9, 1959--1969 (2010; Zbl 1203.62107) Full Text: DOI
Tian, Yongge; Takane, Yoshio On \(\mathbf V\)-orthogonal projectors associated with a semi-norm. (English) Zbl 1332.15016 Ann. Inst. Stat. Math. 61, No. 2, 517-530 (2009). MSC: 15A09 15A03 62H12 62J05 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Takane}, Ann. Inst. Stat. Math. 61, No. 2, 517--530 (2009; Zbl 1332.15016) Full Text: DOI
Tian, Yongge; Puntanen, Simo On the equivalence of estimations under a general linear model and its transformed models. (English) Zbl 1160.62330 Linear Algebra Appl. 430, No. 10, 2622-2641 (2009). MSC: 62H12 62J05 62F30 15A09 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{S. Puntanen}, Linear Algebra Appl. 430, No. 10, 2622--2641 (2009; Zbl 1160.62330) Full Text: DOI
Tian, Yongge; Takane, Yoshio Some properties of projectors associated with the WLSE under a general linear model. (English) Zbl 1141.62043 J. Multivariate Anal. 99, No. 6, 1070-1082 (2008). MSC: 62H12 62J05 15A09 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Takane}, J. Multivariate Anal. 99, No. 6, 1070--1082 (2008; Zbl 1141.62043) Full Text: DOI
Takane, Yoshio; Tian, Yongge; Yanai, Haruo On constrained generalized inverses of matrices and their properties. (English) Zbl 1133.62339 Ann. Inst. Stat. Math. 59, No. 4, 807-820 (2007). MSC: 62J05 15A09 62H12 PDFBibTeX XMLCite \textit{Y. Takane} et al., Ann. Inst. Stat. Math. 59, No. 4, 807--820 (2007; Zbl 1133.62339) Full Text: DOI