In finite population (equal as well as unequal probability) sampling late Jaroslav Hajek's contributions to the general asymptotics are fundamental. In the last two decades more research work has been accomplished in this area with the basic ideas germinating from Hajek's work. A systematic review of such developments with due emphasis on some martingale formulations is presented here.

Cardiac Magnetic Resonance Imaging Findings and the Risk of Cardiovascular Events in Patients With Recent Myocardial Infarction or Suspected or Known Coronary Artery Disease A Systematic Review of Prognostic Studies Hamza El Aidi, MD,*y Arthur Adams, MD,y Karel G. M. Moons, MD, PHD,z Hester M. Den Ruijter, PHD,zx Willem P. Th. M. Mali, MD, PHD,y Pieter A. Doevendans, MD, PHD,* Eike Nagel, PHD,k...

A central problem of dynamical systems theory is to identify a reduced description of the dynamical process one can deal easier. In this paper we present a systematic method of identifying those closed sub-systems of a given discrete time dynamical system in the frame of operator theory. It is shown that this problem is closely related to finding invariant sigma algebras of the dynamics. Index ...

We consider Glauber dynamics on finite spin systems. The mixing time of Glauber dynamics can be bounded in terms of the influences of sites on each other. We consider three parameters bounding these influences — α, the total influence on a site, as studied by Dobrushin; α′, the total influence of a site, as studied by Dobrushin and Shlosman; and α′′, the total influence of a site in any given c...

this paper aims to study a generalized double sinh-gordon equation, which appears in several physical phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. lie symmetry analysis together with the simplest equation method is used to obtain exact solutions for this equation. moreover, we derive conservation laws for the equation by using two different approaches, na...

in order to make the best utilization of a link in computer networks, active queue management (aqm) algorithms are generally used in a variety of methods. in this paper, a systematic control strategy based on self-scheduled h ∞, considering the dynamics of the window-based tcp flow, is proposed. then, the robustness of the designed controller to disturbance and parameter fluctuations of the pla...

Gaussian process state-space models (GP-SSMs) are a very flexible family of models of nonlinear dynamical systems. They comprise a Bayesian nonparametric representation of the dynamics of the system and additional (hyper-)parameters governing the properties of this nonparametric representation. The Bayesian formalism enables systematic reasoning about the uncertainty in the system dynamics. We ...