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In this work we investigate the multivariate statistical description of the matter distribution in the nonlinear regime.
Inter-vehicle communication (IVC) enables vehicles to exchange messages within a limited broadcast range and thus self-organize into dynamical vehicular ad hoc networks. For the foreseeable future, h...
The instantaneous state of a neural network consists of both the degree of excitation of each neuron, the network is composed of, and positions of impulses in communication lines between neurons.
In this paper we establish explicit expressions and some recurrence relations for single and product moments of lower generalized order statistics from exponentiated Pareto distribution. The results i...
In this paper, we derive the exact analytical expressions of entropy for the FellerPareto(FP) family and order statistics of FP subfamilies. The FP family is a very general unimodal distribution which...
In this work we investigate the multivariate statistical description of the matter distribution in the nonlinear regime. We introduce the multivariate Edgeworth expansion of the lognormal distribution...
We present a statistical analysis of the two-point vorticity probability density of the vorticity eld generated in the inverse cascade of stationary two-dimensional turbulence.
For a bounded planar domain $\Omega^0$ whose boundary contains a number of flat pieces $\Gamma_i$ we consider a family of non-symmetric billiards $\Omega$ constructed by patching several copies of $\O...
In this paper we generalize the combinatorial definition of cumulants. Obtained in this way L-cumulants keep all the desired properties of the classical cumulants like semi-invariance and vanishing f...
Suppose we are given a multi-dimensional It\^o process, which can be regarded as a model for an underlying asset price together with related stochastic processes, e.g., volatility. The drift and diff...
We study polytopes that are convex hulls of vectors of subgraph densities. Many graph theoretical questions can be expressed in terms of these polytopes, and statisticians use them to understand expon...
This PHD thesis is concerned with uncertainty relations in quantum probability theory, state estimation in quantum stochastics, and natural bundles in differential geometry. After some comments on the...
We study various statistics related to the eigenvalues and eigenfunctions of random Hamiltonians in the localized regime. Consider a random Hamiltonian at an energy $E$ in the localized phase. Assume ...
Classical transport in a doubly connected polygonal billiard, i.e. the annulus square billiard, is considered. Dynamical properties of the billiard flow with a fixed initial direction are analyzed by ...
Generalized linear statistics are a unifying class that contains U-statistics,U-quantiles, L-statistics as well as trimmed and winsorized U-statistics. For example, many commonly used estimators of sc...

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