The present work is devoted to approximation of the statistical moments of the unknown solution of a class of elliptic transmission problems in R with uncertainly located transmission interfaces. Within this model, the diffusion coefficient has a jump discontinuity across the random transmission interface which models linear diffusion in two different media separated by an uncertain surface. We...

Higher central moments are very useful in statistical analysis: the third moment M3 characterizes asymmetry of the corresponding probability distribution, the fourth moment M4 describes the size of the distribution’s tails, etc. When we know the exact values x1, . . . , xn, we can use the known formulas for computing the corresponding sample central moments. In many practical situations, howeve...

The problem of eliminating the statistical fluctuations and extracting the event dynamics from event-by-event analysis is discussed. New moments Gp (for continuous distribution), and Gq,p (for anomalous distribution) are proposed, which are experimentally measurable and can eliminate the Poissonian type statistical fluctuations to recover the dynamical moments Cp and Cq,p. In this way, the dyna...

This paper presents a scheme for generating paper texture of historical documents. A new entropy based segmentation algorithm is used to decompose the image of documents into the image of the paper background and the printing of the document. Statistical analysis allows filling in the gaps from the printing, yielding a blank sheet of paper with similar texture to the original document.

Palmprint verification is an approach for verifying a palmprint input by matching the input to the claimed identity template stored in a database. If the dissimilarity measure between the input and the claimed template is below the predefined threshold value, the palmprint input is verified possessing same identity as the claimed identity template. This paper introduces an experimental evaluati...

Research in automatic facial expression recognition has permitted the development of systems discriminating between the six prototypical expressions, i.e. anger, disgust, fear, happiness, sadness and surprise, in frontal video sequences. Achieving high recognition rate often implies high computational costs that are not compatible with real time applications on limited-resource platforms. In or...

Description The package implements the statistical theory of L-moments including L-moment estimation, probability-weighted moment estimation, parameter estimation for numerous familiar and not-so-familiar distributions, and L-moment estimation for the same distributions from the parameters. L-moments are derived from the expectations of order statistics and are linear with respect to the probab...

Many phenomena in solid-state physics can be understood in terms of their topological properties. Recently, controlled protocols of quantum walk (QW) are proving to be effective simulators of such phenomena. Here we report the realization of a photonic QW showing both the trivial and the non-trivial topologies associated with chiral symmetry in one-dimensional (1D) periodic systems. We find tha...

In this paper we revisit a classic HOS-based BSS criterion, namely the maximization of the higher-order moments of the estimated sources. The main contributions of this paper are: (i) a thorough study of the solutions given by popular HOS-based BSS criteria (including spurious solutions) and (ii) a method for estimating the source signals based on the eigendecomposition of certain adjustable HO...