Abstract Numerous studies have proposed that specific brain activity statistics provide evidence the operates at a critical point, which could implications for brain’s information processing capabilities. A recent paper reported identical scalings and criticality signatures arise in variety of different neural systems (neural cultures, cortical slices, anesthetized or awake brains, across both ...

In this paper, we presented a theoretical result and then discussed possible applications of our result to SDR problems. In addition to providing insights into existing SDR methods when Y is univariate; our theorem also applies to multivariate responses, especially when the response takes the form of ðY ;W Þ, where Y is a continuous variable and W is categorical. r 2007 Elsevier B.V. All rights...

Sufficient dimension reduction aims at finding transformations of predictor X without losing any regression information of Y versus X . If we are only interested in the information contained in the mean function or the kth moment function of Y given X , estimation of the central mean space or the central kth moment space becomes our focus. However, existing estimators for the central mean space...

The requirement of constant censoring parameter β in Koziol–Green (KG) model is too restrictive. When covariates are present, the conditional KG model (Veraverbekea and Cadarso-Suárez, 2000) which allows β to be dependent on the covariates is more realistic. In this paper, using sufficient dimension reduction methods, we provide a model-free diagnostic tool to test if β is a function of the cov...