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We consider large-scale studies in which there are hundreds or thousands of correlated cases to investigate, each represented by its own normal variate, typically a z-value. A familiar example is pro...
We discuss frequent! properties of Ba~es rules, pa~ing special attention to consistency. Some new and fairly natural counterexamples are given, involving nonparametric estimates of location. E\ren...
ON INCONSISTENT BAYES ESTIMATES OF LOCATION。
Performance characteristics of Bayes estimates are studied. More exactly, for each subject in a data set, let 5 be a vector of binary covariates and let Y be a normal response variable, with E{YIE...
In this article we obtain two families of weighted Strichartz estimates with derivative loss for the Klein-Gordon equation on asymptotically de Sitter spaces, one for nonnegative $\lambda$ and a stro...
Given an isotropic random vector $X$ with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of $|X|$. We show in particular that: \[ \P(|X| \geq (1+t) \sqrt{n}) ...
The c-functions, related to a reductive symmetric space G/H and a fixed representation of a maximal compact subgroup K of G, are shown to satisfy polynomial bounds in imaginary directions.
We consider the energy critical nonlinear Schr\"odinger equation on periodic domains of the form R^m x T^{4-m} with m=0,1,2,3. Assuming that a certain L^4 Strichartz estimate holds for solutions to t...
We derive explicitly the coupling property for the transition semigroup of a L\'evy process and gradient estimates for the associated semigroup of transition operators. This is based on the asymptoti...
We show that a general estimate in the $\dib$-Neumann problem implies a upper bound on the order of contact of a complex curve with the boundary and a lower bound on the rate of the Levi form of a bou...
This contribution is devoted to a review of some recent results on existence, symmetry and symmetry breaking of optimal functions for Caffarelli-Kohn-Nirenberg (CKN) and weighted logarithmic Hardy (WL...

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