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Necessary and sufficient conditions for the existence of the UMRE estimator in growth curve models 被引量:1

Necessary and sufficient conditions for the existence of the UMRE estimator in growth curve models
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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 carve models with arbitrary covariance matrix or uniform oovananoe structure or serial covariance structure under an affine group and a transitive group of transformations for quadratic losses and matrix losses, respectively. 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 carve models with arbitrary covariance matrix or uniform oovananoe structure or serial covariance structure under an affine group and a transitive group of transformations for quadratic losses and matrix losses, respectively.
作者 吴启光
出处 《Science China Mathematics》 SCIE 1995年第3期287-297,共11页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 UNIFORMLY miniusum risk EQUIVARIANT ESTIMATOR affine GROUP of TRANSFORMATIONS traesitive GROUP of TRANSFORMATIONS quadratic LOSS matrix loss. uniformly miniusum risk equivariant estimator, affine group of transformations, traesitive group of transformations, quadratic loss, matrix loss.
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