Lattices of random sets and progressivity
Random sets and stopping sets with respect to a filtration indexed by a collection of closed subsets of a Polish space are studied. In this general setting, the [sigma]-algebra of progressive sets is defined and a characterization of stopping sets is proved in terms of progressive sets.
Year of publication: |
1995
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Authors: | Gail Ivanoff, B. ; Merzbach, Ely ; Schiopu-Kratina, Ioana |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 22.1995, 2, p. 97-102
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Publisher: |
Elsevier |
Keywords: | Lattice Random set Stopping set Progressive set |
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