In this paper, we introduce a Lorentzian Anosov family (LAfamily) up to sequence of distributions null vectors. We prove for each p Mi, where Mi is manifold i Z the tangent space at has unique splitting and varies continuously on via distance function created by torsion-free semi-Riemannian connection. present three examples LA-families. Also, define shadowing property type I II some results re...

‘Fat big data’ characterise data sets that contain many more variables than observations. We discuss the use of both principal components analysis and equilibrium correction models to identify cointegrating relations handle stochastic trends in non-stationary fat data. However, most time series are wide-sense non-stationary—induced by joint occurrence distributional shifts—so we also latter sat...

determination of mobile localization with time of arrival (toa) signal is a requirement in cellular mobile communication. in some of the previous methods, localization with non-line-of-sight (nlos) paths can lead to large position error. also for simplicity, in most simulations suppose non stationary actual environments as stationary. this paper proposes (residual test + recursive least square)...