On different topologies for set-indexing collections

Giacomo Aletti

Statistics & Probability Letters, 2001, vol. 54, issue 1, 67-73

Abstract: We underline some topological properties of set-indexing collections in order to provide new assumptions for set-indexed stochastic processes. We show that any of these topological assumptions is equivalent to another one already used in the framework of a set-indexed process. These may replace usual metric assumptions needed to derive some known stopping results. We provide an example related to a class of birth-and-growth processes.

Keywords: Set-indexed; processes; Topological; space; Birth-and-growth; processes (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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