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. - In: ATTI DEL SEMINARIO MATEMATICO E FISICO DELL'UNIVERSITA' DI MODENA. - ISSN 0041-8986. - STAMPA. - L:(2002), pp. 479-491.
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.File in questo prodotto:
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