Many fundamental theorems in the classical countably additive probability theory are related with the notion of weak convergence of measures as, for instance, asymptotic results, Prokhorov theorems and metrizability conditions for the space of probability measures. In order to extend these results in a finitely additive setting, in this paper we introduce some different neighborhood systems for the topology of the weak convergence of masses.
Weak convergence of masses: some neighborhood systems
GIROTTO, BRUNO;HOLZER, SILVANO
2005-01-01
Abstract
Many fundamental theorems in the classical countably additive probability theory are related with the notion of weak convergence of measures as, for instance, asymptotic results, Prokhorov theorems and metrizability conditions for the space of probability measures. In order to extend these results in a finitely additive setting, in this paper we introduce some different neighborhood systems for the topology of the weak convergence of masses.File in questo prodotto:
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