Given an m-dimensional compact submanifold M of Euclidean space R, the concept of mean location of a distribution, related to mean or expected vector, is generalized to more general R-valued functionals including median location, which is derived from the spatial median. The asymptotic statistical inference for general functionals of distributions on such submanifolds is elaborated. Convergence...

For a large class of processes called transport processes we study in detail a certain asymptotic limit, the diffusion limit. Transport processes arise in linear transport theory, learning theory, nonlinear oscillations in the presence of noise and other problems. We examine closely some examples and give complete proofs for the results stated here.

Blind deconvolution is considered as a problem of quasi maximum likelihood (QML) estimation of the restoration kernel. Simple closed-form expressions for the asymptotic estimation error are derived. The asymptotic performance bounds coincide with the Cramér-Rao bounds, when the true ML estimator is used. Conditions for asymptotic stability of the QML estimator are derived. Special cases when th...

in this paper we discuss on the fixed points of asymptotic contractions and boyd-wong type contractions in uniform spaces equipped with an e-distance. a new version ofkirk's fixed point theorem is given for asymptotic contractions and boyd-wong type contractions is investigated in uniform spaces.

We present a structured algorithm for solving constrained nonlinear least squares problems, and establish its local two-step Q-superlinear convergence. The approach is based on an adaptive structured scheme due to Mahdavi-Amiri and Bartels of the exact penalty method of Coleman and Conn for nonlinearly constrained optimization problems. The structured adaptation also makes use of the ideas of N...

Equilibrium Wulff shapes and interfacial energies of two-dimensional ‘‘crystals’’ on a triangular lattice are considered. Asymptotic approximations are constructed for both the shapes and energies in the limit T→0 where crystals are close to perfect hexagons, and the limit T→Tc ~critical temperature! where crystals have near-circular shapes. The intermediate temperature region is studied numeri...

Independent Component Analysis (ICA) is a frequently used preprocessing step in source localization of MEG and EEG data. By decomposing the measured data into maximally independent components (ICs), estimates of the time course and the topographies of neural sources are obtained. In this paper, we show that when using estimated source topographies for localization, correlations between neural s...

We introduce a new 5-parameter family of distributions, the Asymmetric Exponential Power (AEP), able to cope with asymmetries and leptokurtosis and at the same time allowing for a continuous variation from non-normality to normality. We prove that the Maximum Likelihood (ML) estimates of the AEP parameters are consistent on the whole parameter space, and when sufficiently large values of the sh...

This paper is devoted to a new approach based on data mining to evaluate the efficiency of numerical asymptotic models. We first propose an asymptotic paraxial approximations to model ultrarelativistic particles. Then, we use data mining methods that directly deal with numerical results of simulations, to understand what each order of the asymptotic expansion brings to the simulation results. T...