We introduce the notion of convergence in distribution for bounded monotone set functions on the real line and obtain a characterization which allows us to link this convergence and an abstract notion of weak convergence. Moreover, we introduce a suitable topology in order to study the properties of the convergence in distribution from a topological point of view.

Convergence in distribution of bounded monotone set functions on the real line

GIROTTO, BRUNO;HOLZER, SILVANO
2002-01-01

Abstract

We introduce the notion of convergence in distribution for bounded monotone set functions on the real line and obtain a characterization which allows us to link this convergence and an abstract notion of weak convergence. Moreover, we introduce a suitable topology in order to study the properties of the convergence in distribution from a topological point of view.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1848334
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