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Between Paouris concentration inequality and variance conjecture

B. Fleury — 2010

Annales de l'I.H.P. Probabilités et statistiques

We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.

Spatial bayesian models of tree density with zero inflation and autocorrelation

Frédéric MortierOlivier FloresSylvie Gourlet-Fleury — 2007

Journal de la société française de statistique

Understanding the spatial and temporal dynamics of rain forests is a challenge for assessing the impact of disturbance on forest stands and tree populations. Still few studies address the modelling of spatial patterns of tree density. Here, we present Hierarchical bayesian (HB) models for the local density of juveniles trees in a tropical forest. These models are specifically designed to handle zero inflation and spatial autocorrelation in the data. Height types of models were built and compared...

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