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Study of a filtration expanded to include an honest time
Authors:M T Barlow
Institution:(1) Department of Pure Mathematics, University College of Swansea, SA2 8PP Singleton Park, Swansea, UK
Abstract:Summary Let (OHgr,Iscr, P) be a measurable space, and {Iscr t} be a filtration on (OHgr,Iscr). Then, given a fixed honest timeL a new filtrationG t} is defined, the smallest containing {Iscr t} and for whichL is a stopping time, and the martingales, semimartingales and stopping times of this new filtration are characterised.
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