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In this work we analyze principle component analysis (PCA) as a deterministic input-output system. We show that the relative information loss induced by reducing the dimensionality of the data after p...
摘要 In this paper, the definitions of Bayes estimator, minimax estimator, minimumrisk equivariant estimator and admissible estimator under the general matrix loss functionare given. Several results on ...
Under multivariant normal linear models, it is proved that usual loss estimators based on the uniformly minimum variance unbiased estimator and the best affinely equivariant estimator of error varianc...
For the completely observed colltinuous-time stochastic system (A, B, C)an adaptive control based on the ELS estimation algorithm is designed so that the quadratic loss function is minimized and the u...
The necessary and sufficient conditions for a linear estimator of a linear estimable function of regression coefficients in a general fixed effects linear model with the assumptions of normality to be...
For the general fixed effects linear model: Y=Xτ+ε,ε~N(0,V)(or N(0,σ~2V)), V≥0, we obtain the necessary and sufficient condition for LY+α to be admissible for Sτ in the class of all estimators under m...

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