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Institute of Information Theory and Automation
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Projects
Dept.: SI
Duration: 2007
- 2009
The project is aimed at investigating qualitative properties of stochastic infinite dimensional systems (in particular, of solutions to infinite dimensional stochastic equations) and at research in infinite dimensional stochastic control theory. The moreimmediate aims are: 1. Investigation of existence, uniqueness and pathwise properties of solutions to infinite dimensional stochastic equations,...
Dept.: SI
Duration: 2006
- 2008
Phase transitions of complex systems are studied with help of probabilistic and analytic methods. The techniques of Pirogov-Sinai theory and cluster expansion are further developed and applied. The classes of investigated lattice models include Kac models with additional short-range interaction (including an application to random networks), phase transition of tilings, and models with continuum...
Dept.: SI
Duration: 2006
- 2008
Dept.: SI
Duration: 2006
- 2010
The project is devoted to basic research in mathematics, probability and statistics, with applications to neurophysiology and economics. A broad new class of random point processes in space and time will be developed and its properties investigated mainly analytically and also by means of simulations. Advanced probabilistic tools will be enhanced to solve complex modeling problems. Various...
Dept.: SI
Duration: 2006
- 2008
Development of an intelligent information system of maintenance. The system will possess a modular structure containing both basic tools and functions of maintenance management and modules with advanced analytical methods, and including an adaptive knowledge data-basis. Research and application of models and methods of mathematical reliability analysis, adaptive control and decision under...
Dept.: SI
Duration: 2006
- 2011
The development of the methodology for quality improvement, diagnostics and reliability analysis of production and technological processes, namely with respect to their aplicability in praxis. The advancement of complex analytical methods, leading to increase of competitiveness of industial works.
Dept.: SI
Duration: 2005
- 2008
Methods for statistical data analysis and probability modeling play an increasingly important role in learning about natural and social phenomena, especially in connection with the availability and spread of information technology. Natural, technical andeconomical sciences spawn a growing demand for statistical modeling of complex dynamically evolving systems in the presence of randomness or...
Dept.: SI
Duration: 2004
- 2006
The spacings-based goodnes-of-fit test statistics known from the literature are shown to be asymptotically equivalent to spacings-based Pearson-type statistics. Limit laws will be extended, and the related relative asymptotic efficiencies will be evaluated for new clases of such statistics. New limit laws and the related asymptotic efficiencies will be obtained also for new classes of the Pearson...
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