For the mixed-effects models with two variance components which is often adopted for analyzing longitudinal data, we establish some necessary and sufficient condition for equality of the analysis of variance estimate and the spectral decomposition estimate of variance components. Thus when this condition is satisfied, both estimates share some statistical properties. Two practical examples sati...

Effects of tree species diversity on decomposition can operate via a multitude of mechanism, including alterations of microclimate by the forest canopy. Studying such effects in natural settings is complicated by the fact that topography also affects microclimate and thus decomposition, so that effects of diversity are more difficult to isolate. Here, we quantified decomposition rates of standa...

we propose a method for medical image denoising using calculus of variations and local variance estimation by shaped windows. this method reduces any additive noise and preserves small patterns and edges of images. a pyramid structure-texture decomposition of images is used to separate noise and texture components based on local variance measures. the experimental results show that the proposed...

An important theoretical tool in machine learning is the bias/variance decomposition of the generalization error. It was introduced for the mean square error in [3]. The bias/variance decomposition includes the concept of the ave-rage predictor. The bias is the error of the average predictor, and the systematic part of the generalization error, while the variability around the average predictor...