A Notion of Stopping Line for Set-Indexed Processes

Diane Saada () and Dean Slonowsky ()
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Diane Saada: Hebrew University of Jerusalem
Dean Slonowsky: University of Manitoba

Journal of Theoretical Probability, 2006, vol. 19, issue 2, 397-410

Abstract: In this paper, we introduce the class of $$\mathcal {A}$$ -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 $$\mathcal {A}$$ 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].

Keywords: Decreasing line, stopping line, set-indexed process, début; stopping set, announcability; 60G40; 60G60; 60G99 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10959-006-0015-4

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