NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF THE UMRE ESTIMATOR IN GROWTH CURVE MODELS

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	NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF THE UMRE ESTIMATOR IN GROWTH CURVE MODELS
	WU, QG
	1995-03-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES
ISSN	1001-6511
卷号	38 期号:3 页码:287-297
摘要	The necessary and sufficient conditions are derived for the existence of the uniformly minimum risk equivariant (UMRE) estimator of regression coefficient matrix in normal growth curve models with arbitrary covariance matrix or uniform covariance structure or serial covariance structure under an affine group and a transitive group of transformations for quadrat:ic losses and matrix losses, respectively.
关键词	UNIFORMLY MINIMUM RISK EQUIVARIANT ESTIMATOR AFFINE GROUP OF TRANSFORMATIONS TRANSITIVE GROUP OF TRANSFORMATIONS QUADRATIC LOSS MATRIX LOSS
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1995QX02400004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27614
专题	中国科学院数学与系统科学研究院
通讯作者	WU, QG
作者单位	CHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	WU, QG. NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF THE UMRE ESTIMATOR IN GROWTH CURVE MODELS[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES,1995,38(3):287-297.
APA	WU, QG.(1995).NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF THE UMRE ESTIMATOR IN GROWTH CURVE MODELS.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES,38(3),287-297.
MLA	WU, QG."NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF THE UMRE ESTIMATOR IN GROWTH CURVE MODELS".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES 38.3(1995):287-297.