26 resultados para Quadratic inequalities

em BORIS: Bern Open Repository and Information System - Berna - Suiça


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While empirical evidence continues to show that low socio-economic position is associated with less likely chances of being in good health, our understanding of why this is so remains less than clear. In this paper we examine the theoretical foundations for a structure-agency approach to the reduction of social inequalities in health. We use Max Weber's work on lifestyles to provide the explanation for the dualism between life chances (structure) and choice-based life conduct (agency). For explaining how the unequal distribution of material and non-material resources leads to the reproduction of unequal life chances and limitations of choice in contemporary societies, we apply Pierre Bourdieu's theory on capital interaction and habitus. We find, however, that Bourdieu's habitus concept is insufficient with regard to the role of agency for structural change and therefore does not readily provide for a theoretically supported move from sociological explanation to public health action. We therefore suggest Amartya Sen's capability approach as a useful link between capital interaction theory and action to reduce social inequalities in health. This link allows for the consideration of structural conditions as well as an active role for individuals as agents in reducing these inequalities. We suggest that people's capabilities to be active for their health be considered as a key concept in public health practice to reduce health inequalities. Examples provided from an ongoing health promotion project in Germany link our theoretical perspective to a practical experience.

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In the setting of high-dimensional linear models with Gaussian noise, we investigate the possibility of confidence statements connected to model selection. Although there exist numerous procedures for adaptive (point) estimation, the construction of adaptive confidence regions is severely limited (cf. Li in Ann Stat 17:1001–1008, 1989). The present paper sheds new light on this gap. We develop exact and adaptive confidence regions for the best approximating model in terms of risk. One of our constructions is based on a multiscale procedure and a particular coupling argument. Utilizing exponential inequalities for noncentral χ2-distributions, we show that the risk and quadratic loss of all models within our confidence region are uniformly bounded by the minimal risk times a factor close to one.

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A carpet is a metric space homeomorphic to the Sierpiński carpet. We characterize, within a certain class of examples, non-self-similar carpets supporting curve families of nontrivial modulus and supporting Poincaré inequalities. Our results yield new examples of compact doubling metric measure spaces supporting Poincaré inequalities: these examples have no manifold points, yet embed isometrically as subsets of Euclidean space.