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A Direct Approach to Deriving Filtering Equations for Diffusion Processes
Authors:N. V. Krylov  A. Zatezalo
Affiliation:(1) 127 Vincent Hall, University of Minnesota, Minneapolis, MN 55455, USA {krylov,zatezalo}@math.umn.edu, US
Abstract:Filtering equations are derived for conditional probability density functions in case of partially observable diffusion processes by using results and methods from the L p -theory of SPDEs. The method of derivation is new and does not require any knowledge of filtering theory. Accepted 31 July 2000. Online publication 13 November 2000.
Keywords:. Filtering   Diffusion processes   Lp -Theory of SPDEs. AMS Classification. Primary 60G35   Secondary 62M20.
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