Let β > 1 be a real number and M : R → GL(C) be a uniformly almost periodic matrix-valued function. We study the asymptotic behavior of the product Pn(x) = M(β x) · · ·M(βx)M(x). Under some condition we prove a theorem of Furstenberg-Kesten type for such products of non-stationary random matrices. Theorems of Kingman and Oseledec type are also proved. The obtained results are applied to multipl...

Based on several simplifying assumptions, a stochastic approach is developed that allows an estimation of the effects of non-regular spatial patterns of the distribution of individual plants on the mean value (K ) of trait per area. In this approach, two random variables are attached to each plant: single plant trait measurement (E) and individual space per plant (A). The latter is estimated by...

MOTIVATION We present a statistical framework for the analysis of high-dimensional microarray data, where the goal is to compare intensities among several groups based on as few as a single sample from each group. In this setting, it is of interest to compare gene expression among several phenotypes to define candidate genes that simultaneously characterize several criteria, simultaneously, amo...

This work presents two kernels which can be applied to sets of spike times. This allows the use of state-of-the-art classification techniques to spike trains. The presented kernels are closely related to several recent and often used spike train metrics. One of the main advantages is that it does not require the spike trains to be binned. A high temporal resolution is thus preserved which is ne...

In this work we explicitly provide the first ever optimal, with respect to the Zheng-Tse diversity multiplexing gain (D-MG) tradeoff, cooperative diversity schemes for wireless relay networks. The schemes are based on variants of perfect space-time codes and are optimal for any number of users and all statistically symmetric (and in some cases, asymmetric) fading distributions. We deduce that, ...

This paper discusses the application of a robust filtering technique to a benchmark trajectory estimation problem involving radar measurements of an atmospheric entry vehicle. The robust technique is based on the Huber estimator, which is a mixed minimum 1 / 2-norm linear regression technique. The approach is robust with respect to deviations in the traditionally assumed Gaussian measurement er...

Over the past years, there has been a great impulse in studying the motion of a rigid body. We would like to quote the work of Brenner [2] concerning the steady motion of one or more bodies in a linear viscous liquid in the Stokes approximation as well as Weinberger [18], [19], Serre [16] regarding the fall of a body in an incompressible Navier-Stokes fluid under the action of gravity and Borch...

Detection of flicker sources is the first step to mitigate the effect of flicker in power system. In this paper, in order to reduce the number of measurement devices, instantaneous voltages are estimated by using state estimation methods and then root mean square of the voltages and currents variation are detected and then sign of flicker powers is obtained in selected branches. By comparing th...

Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q1, . . . , an/qn with smaller denominators. We show that in the special cases of n = 3 and n = 4 and certain admissible ranges for the denominators q1, . . . , qn, one can improve a result of T. H. Chan by using a different approach. 2000 Mathematics Subject ...