D-optimal Design for Polynomial Regression: Choice of Degree and Robustness

In this paper we show that for D-optimal design, departures from the design are much less important than a depar-ture from a model. As a consequence, we propose, based on D-optimality, a rule for choosing the regression degree. We also study different types of departures from the model to define a new class of D-optimal designs, which is robust and more efficient than the uniform oneD-optimal design; regression degree; polynomial regression

Graphical Models of Structural Relations between Variables and their Application to Russian Regions (Part One)

The article deals with variables structure. A summary of dependence trees and graphical models with a special em-phasis on Dempster covariance selection method in part one is followed in the second part by a description of a modi-fication of the latter developed by the author. An application of the obtained results to comparative study of Russian regions will be also given in part twocovariance selection algorithm; Russian regions

Graphical Methods of Structural Relations between Variables and their Application to Russian Regions (Part Two)

The second part of the article continues studying the structure of a set of variables. It consists of two pieces: (1) de-scription of a modification of Dempster covariance selection algorithm based on its combination with that of tree dependence structures construction, simulation results, methods of representation of the graphical model on the plane, and different methods of results interpretation; (2) application of the method to studying and comparing Russian regionscovariance selection algorithm; Russian regions

The Beginning of the End of the Anthropic Principle

We argue that if string theory as an approach to the fundamental laws of physics is correct, then there is almost no room for anthropic arguments in cosmology. The quark and lepton masses and interaction strengths are determined.Comment: 12 page

Towards a grand unified picture for neutrino and quark mixings

The comparison of the CKM mixing angles with the leptonic mixings implied by the recent atmospheric and solar neutrino data exhibits an interesting complementarity. This pattern can be understood in the context of the SU(5) grand unification, assuming that the fermion mass matrices have Fritzsch-like structures but are not necessarily symmetric. (The present contribution is based on the paper in ref. \cite{az}.)Comment: Latex file + espcrc2.sty, 5 pages, 3 postscript figures included. Talk given at the Int. Workshop ``Particles in Astrophysics and Cosmology: from Theory to Observation'', May 3-8, 1999, Valencia, Spain. To appear in Nucl. Phys. Proc. Supp