Parameter estimation of ODE's via nonparametric estimators

Ordinary differential equations (ODE's) are widespread models in physics, chemistry and biology. In particular, this mathematical formalism is used for describing the evolution of complex systems and it might consist of high-dimensional sets of coupled nonlinear differential equations. In this setting, we propose a general method for estimating the parameters indexing ODE's from times series. Our method is able to alleviate the computational difficulties encountered by the classical parametric methods. These difficulties are due to the implicit definition of the model. We propose the use of a nonparametric estimator of regression functions as a first-step in the construction of an M-estimator, and we show the consistency of the derived estimator under general conditions. In the case of spline estimators, we prove asymptotic normality, and that the rate of convergence is the usual $\sqrt{n}$-rate for parametric estimators. Some perspectives of refinements of this new family of parametric estimators are given.Comment: Published in at http://dx.doi.org/10.1214/07-EJS132 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org

The President and Nuclear Weapons: Authorities, Limits, and Process

There is no more consequential decision for a president than ordering a nuclear strike. In the Cold War, the threat of sudden nuclear annihilation necessitated procedures emphasizing speed and efficiency and placing sole decision-making authority in the president’s hands. In today’s changed threat environment, the legal authorities and process a U.S. president would confront when making this grave decision merit reexamination. This paper serves as a resource in the national discussion about a president’s legal authority and the procedures for ordering a nuclear strike, and whether to update them

Is internet an acceleration factor in voluntary lifelong learning ?

IT Technologies are said to make access to learning easier and cheaper. Virtually all theorical knowledge is available in one form or another on the web, with possibilities for beginners as well as, in certain cases, for extremely sophisticated users.informal learning; lifelong learning; e-learning; Internet; Knowledge, quantitative methodology