Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9661
Title: Statistical causality and adapted distribution
Authors: Petrovic L.
Dimitrijević, Slađana
Issue Date: 2011
Abstract: In the paper D. Hoover, J. Keisler: Adapted probability distributions, Trans. Amer. Math. Soc. 286 (1984), 159-201 the notion of adapted distribution of two stochastic processes was introduced, which in a way represents the notion of equivalence of those processes. This very important property is hard to prove directly, so we continue the work of Keisler and Hoover in finding sufficient conditions for two stochastic processes to have the same adapted distribution. For this purpose we use the concept of causality between stochastic processes, which is based on Granger's definition of causality. Also, we provide applications of our results to solutions of some stochastic differential equations. © 2011 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.
URI: https://scidar.kg.ac.rs/handle/123456789/9661
Type: article
DOI: 10.1007/s10587-011-0030-1
ISSN: 0011-4642
SCOPUS: 2-s2.0-80155132530
Appears in Collections:Faculty of Science, Kragujevac

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