We point out that the weak convergence and the convergence in distributions are not equivalent in a finitely additive setting. Moreover, we give a Portmanteau type theorem for the latter convergence. Finally, we show that the two convergences are equivalent in the context of tight masses.
Convergence in distribution of masses on the real line
GIROTTO, BRUNO;HOLZER, SILVANO
1989-01-01
Abstract
We point out that the weak convergence and the convergence in distributions are not equivalent in a finitely additive setting. Moreover, we give a Portmanteau type theorem for the latter convergence. Finally, we show that the two convergences are equivalent in the context of tight masses.File in questo prodotto:
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