On Two Selected Topics Connected with Stochastic Systems Theory

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/664 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/664 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/664 archive 351 disk0/00/00/06/43 2016-01-15 01:43:46 2021-08-27 17:08:29 2016-01-15 01:43:46 monograph show 3 Rozanov Y.A. AL1163 On Two Selected Topics Connected with Stochastic Systems Theory pub iis_met prog_sds The existence and the explicit form of the minimal Markov process which contains as a component a given stationary process are established. It is shown in particular that the future/past splitting subspace of the multivariate stationary process is finite-dimensional if and only if the process has a rational spectral densities matrix. The property of being stochastically continuous is obtained as the condition for continuation of the sigma-algebras associated with a process with independent increments which usually represents a stochastic disturbance of the system considered. This property gives us the left-side continuation of the sigma-algebras in the case of the arbitrary process in a metric space. 1976-05 published RM-76-041 RM-76-041 10 2343 public research_memorandum IIASA, Laxenburg, Austria 15 FALSE info:eu-repo/semantics/book