A matrix approach to a general partitioned linear model with partial parameter restrictions

doi:10.1080/03081087.2020.1804521

	A matrix approach to a general partitioned linear model with partial parameter restrictions
	Ma, Rong 1; Tian, Yongge2
	2020-08
发表期刊	LINEAR & MULTILINEAR ALGEBRA
卷号	70 期号:13 页码:2513-2532
摘要	This article considers some fundamental estimation problems on a general partitioned linear model with partial parameter restrictions. We shall derive analytical formulas for calculating the ordinary least-squares estimators (OLSEs) and the best linear unbiased estimators (BLUEs) of the whole and partial parameter vectors in the model and its reduced models, and establish identifying conditions for the equivalence of the OLSEs and BLUEs under among these models.
关键词	Partitioned linear model reduced model estimability OLSE BLUE generalized inverse rank formula
DOI	10.1080/03081087.2020.1804521
收录类别	SCOPUS ; SCIE
ISSN	0308-1087
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000559861000001
出版者	TAYLOR & FRANCIS LTD
原始文献类型	Article ; Early Access
EISSN	1563-5139
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/30190
专题	统计与数据科学学院
作者单位	1.Lanzhou Univ Finance & Econ, Sch Stat, Lanzhou, Peoples R China; 2.Shanghai Business Sch, Coll Business & Econ, Shanghai, Peoples R China
第一作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Ma, Rong,Tian, Yongge. A matrix approach to a general partitioned linear model with partial parameter restrictions[J]. LINEAR & MULTILINEAR ALGEBRA,2020,70(13):2513-2532.
APA	Ma, Rong,&Tian, Yongge.(2020).A matrix approach to a general partitioned linear model with partial parameter restrictions.LINEAR & MULTILINEAR ALGEBRA,70(13),2513-2532.
MLA	Ma, Rong,et al."A matrix approach to a general partitioned linear model with partial parameter restrictions".LINEAR & MULTILINEAR ALGEBRA 70.13(2020):2513-2532.