The characteristic independence property of Poisson point processes gives an intuitive way to explain why a sequence of point processes becoming less and less repulsive can converge to a Poisson point process. The aim of this paper is to show this convergence for sequences built by superposing repulsive point processes. We use Papangelou intensities and Stein’s method to prove this result with ...

Viscosity approximation methods for nonexpansive mappings in CAT 0 spaces are studied. Consider a nonexpansive self-mapping T of a closed convex subsetC of a CAT 0 spaceX. Suppose that the set Fix T of fixed points of T is nonempty. For a contraction f on C and t ∈ 0, 1 , let xt ∈ C be the unique fixed point of the contraction x → tf x ⊕ 1 − t Tx. We will show that if X is a CAT 0 space satisfy...

the determination of soil wetting front which caused by emitters is one of the important issues in designing trickle irrigation system. in this study, a mathematical model introduced in order to study the position of soil wetting front during irrigation by point emitters in homegenious soil in unsteady condition. the model solves governing differential equation of unsaturated flow in cylindrica...

A Turbo iterative method for speech enhancement is proposed. The Kalman filter with the voice generation model and the wavelet threshold filter with the short-term spectrum are combined through Turbo iteration. Both filters work in rotation and each one takes some feedback information from the other filter as a priori condition. Our experiment results show that the Turbo iterative algorithm wil...

We study the problem of using i.i.d. samples from an unknown multivariate probability distribution p to estimate the mutual information of p. This problem has recently received attention in two settings: (1) where p is assumed to be Gaussian and (2) where p is assumed only to lie in a large nonparametric smoothness class. Estimators proposed for the Gaussian case converge in high dimensions whe...