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On killed processes and stopped filtrations

Authors: Peter M. Hooper a; Hermann Thorisson b
Affiliations:   a Department of Statistics and Applied Probability, The University of Alberta, Edmonton, Canada
b Department of Mathematics, Chalmers University of Technology, Goumlteborg, Sweden
DOI: 10.1080/07362998808809157
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 6, Issue 4 1988 , pages 389 - 395
Formats available: PDF (English)
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Abstract

This note considers three σ-algebras that contain information about what happens to a stochastic process prior to a random time T. It is shown that the three σ-algebras coincide in a canonical setting but not in general.
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