Search Results - subject:"Matrix rank method"

The additive and block decompositions about the WLSEs of parametric functions for a multiple partitioned linear regression model

Huang, Yunying; Zheng, Bing - In: Journal of Multivariate Analysis 133 (2015) C, pp. 123-135

The necessary and sufficient conditions for the weighted least-squares estimators (WLSEs) of parametric functions K1β1+K2β2+⋯+Kmβm under a multiple partitioned linear model ℳ={y,X1β1+⋯+Xmβm,σ2Σ} to be the sum of the WLSEs of Kiβi under the m small models...

Persistent link: https://www.econbiz.de/10011116227

Some overall properties of seemingly unrelated regression models

Sun, Yuqin; Ke, Rong; Tian, Yongge - In: AStA Advances in Statistical Analysis 98 (2014) 2, pp. 103-120

restrictions, estimability of parametric functions under a singular seemingly unrelated regression model using the matrix rank … method. We also derive necessary and sufficient conditions for the ordinary least squares estimators and the best linear …

Persistent link: https://www.econbiz.de/10010759618

Some equalities for estimations of partial coefficients under a general linear regression model

Tian, Yongge; Zhang, Jieping - In: Statistical Papers 52 (2011) 4, pp. 911-920

Persistent link: https://www.econbiz.de/10009401665

On the natural restrictions in the singular Gauss–Markov model

Tian, Yongge; Beisiegel, M.; Dagenais, E.; Haines, C. - In: Statistical Papers 49 (2008) 3, pp. 553-564

Persistent link: https://www.econbiz.de/10008533920