A Notion of Stopping Line for Set-Indexed Processes |
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| Authors: | Diane Saada Dean Slonowsky |
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| Affiliation: | (1) Department of Statistics, Hebrew University of Jerusalem, Mount Scopus, Jerusalem, 91905, Israel;(2) Department of Statistics, University of Manitoba, Winnipeg, Manitoba, Canada, R3T 2N2 |
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| Abstract: | In this paper, we introduce the class of  -stopping lines which generalize the planar stopping lines in Merzbach [(1980), Stochastic Process. Appl. 10, 49–63] by replacing the positive quadrant of the plane by a collection  of compact subsets of a fixed topological space. Our notion of stopping line also compliments and generalizes the stopping sets defined in Ivanoff and Merzbach [(1995), Stochastic Process. Appl. 57, 83–98]. |
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| Keywords: | Decreasing line stopping line set-indexed process début stopping set announcability |
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