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NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF THE UMRE ESTIMATOR IN GROWTH CURVE MODELS
WU, QG
1995-03-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES
ISSN1001-6511
Volume38Issue:3Pages:287-297
AbstractThe 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.
KeywordUNIFORMLY MINIMUM RISK EQUIVARIANT ESTIMATOR AFFINE GROUP OF TRANSFORMATIONS TRANSITIVE GROUP OF TRANSFORMATIONS QUADRATIC LOSS MATRIX LOSS
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1995QX02400004
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27614
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
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.
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