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Quantifying risks is of importance in insurance. In this paper, we employ the jackknife empirical likelihood method to construct confidence intervals for some risk measures and related quantities stud...
Many problems of interest in computer science and information theory can be phrased in terms of a probability distribution over discrete variables associated to the vertices of a large (but finite) sp...
As part of global climate change an accelerated hydrologic cycle (including an increase in heavy precipitation) is anticipated. So, it is of great importance to be able to quantify high-impact hydrolo...
In this paper nonparametric methods to assess the multivariate L\'evy measure are introduced. Starting from high-frequency observations of a L\'evy process X, we construct estimators for its tail inte...
Abstract: We introduce a natural definition of Riesz measures and Wishart laws associated to an $\Omega$-positive (virtual) quadratic map, where $\Omega \subset \real^n$ is a regular open convex cone....
We construct a Gibbs measure for the nonlinear Schr¨odinger equation (NLS)on the circle, conditioned on prescribed mass and momentum:dμa,b = Z−1 1 {´T |u|2=a} 1 {i ´T uux=b}e±1 p &a...
The R´enyi information measures are characterized in terms of their Shannon counterparts, and properties of the former are recovered from first principle via the associated properties of the lat...
We study positive measures that are solutions to an abstract optimisation problem, which is a generalisation of a classical variational problem with a constraint on information of a Kullback-Leibler t...

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