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Adaptive confidence intervals for regression functions are constructed under shape constraints of monotonicity and convexity. A natural benchmark is established for the minimum expected length of conf...
Shape-based regularization has proven to be a useful method for delineating objects from the noisy im-ages encountered in many applications when one has prior knowledge of the shape of the targeted o...
We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local monotonicity o...
A noncentral chi-square density is log-concave if the degree of freedom is nu>=2. We complement this known result by showing that, for each 0here exists lambda_nu>0 such that the chi-square wi...
In this work we deal with the problem of support estimation under shape restrictions. The shape restriction we deal with is an extension of the notion of convexity named a-convexity. Instead of assu...
In this paper, we observe a fixed number of unknown $2\pi$-periodic functions differing from each other by both phases and amplitude. This semiparametric model appears in literature under the name "s...
In the statistical analysis of shape a goal beyond the analysis of static shapes lies in the quantification of ‘same’ deformation of different shapes. Typically, shape spaces are modelled as Riemann...
A method for inference on cylindricity of tree boles based on 3D Kendall shapes is presented. This method employs Procrustes means which are highly popular in the shape community. While for extrinsi...
A stability result for intrinsic means on the quotient due to an isomet- ric and proper Lie group action on a Riemannian manifold is derived, stat- ing that intrinsic means are contained in the high...
We introduce a class of shape mixtures of skewed distributions and study some of its main properties. We discuss a Bayesian interpretation and some invariance results of the proposed class. We devel...
Size-and-Shape Cone, Shape Disk and Configuration Densities for the Elliptical Models。
Practice based studies have provided rich descriptions of knowledge dynamics. On the other hand, they led to conceptualizations that question the possibility to view knowledge as a resource that can b...
We study branching random walks in random environment on the d-dimensional square lattice, d 1. In this model, the environment has nite range dependence, and the population size cannot decrease. We pr...
In its standard form, a lifetime regression model usually assumes that the time until an event occurs has a constant shape parameter and a scale parameter that is a function of covariates. In this p...

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