We consider the problem of estimating a probability density function based on data that are corrupted by noise from a uniform distribution. The (nonparametric) maximum likelihood estimator for the corresponding distribution function is well defined. For the density function this is not the case. We study two nonparametric estimators for this density. The first is a type of kernel density estima...

Partial correlation vines and the onion method are presented for generating random correlation matrices. As a special case, a uniform distribution over the set of d× d positive definite correlation matrices obtains. Byproducts are: (a) For a uniform distribution over the space of d × d correlation matrices, the marginal distribution of each correlation is Beta(d/2, d/2) on (−1, 1). (b) An ident...

I. Schur's study of simple algebras around the turn of the century, nd subsequent investigations by R. Brauer, E. Witt and others, were later reformulated in terms of what is now called the Schur subgroup of the Brauer group. During the last twenty years this group has generated substantial interest and numerous palatable results have ensued. Among these is the discovery that elements of the Sc...

services (uniform distribution) and submits it to the service composer. The composer uses a conventional single-phase method and the three-phase composition process to select concrete services for the abstract service chain.

The concept of safe manipulation has recently been introduced by Slinko and White. We show how to compute the asymptotic probability that a safe manipulation exists for a given scoring rule under the uniform distribution on voting situations (the socalled Impartial Anonymous Culture). The technique used is computation of volumes of convex polytopes. We present explicit numerical results in the ...

Mathematical models are useful tools to optimize the performance of granular sludge reactors. In these models, typically a uniform granule size is assumed for the whole reactor, even though in reality the granules follow a size distribution and the granule size as such affects the process performance. This study assesses the effect of the granule size distribution on the performance of a granul...

the monolithic catalytic converter is still the main pollution control device for modern vehicles in order to reach the ever-increasing legislative demands for low emission standards. the catalytic converters require a large expansion from the exhaust pipe to the front face of the monolith. unfortunately, packaging constraints often do not permit the use of long diffusers. hence, flow separatio...

We study the asymptotic statistical behavior of the 2-dimensional periodic Lorentz gas with an infinite horizon. We consider a particle moving freely in the plane with elastic reflections from a periodic set of fixed convex scatterers. We assume that the initial position of the particle in the phase space is random with uniform distribution with respect to the Liouville measure of the periodic ...