Ergodic Theorems for lower probabilities

Author:

Cerreia–Vioglio S.,Maccheroni F.,Marinacci M.

Abstract

We establish an Ergodic Theorem for lower probabilities, a generalization of standard probabilities widely used in applications. As a by-product, we provide a version for lower probabilities of the Strong Law of Large Numbers.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. Wiley Series in Probability and Mathematical Statistics;Billingsley, Patrick,1995

2. Signed integral representations of comonotonic additive functionals;Cerreia-Vioglio, Simone;J. Math. Anal. Appl.,2012

3. Choquet integration on Riesz spaces and dual comonotonicity;Cerreia-Vioglio, Simone;Trans. Amer. Math. Soc.,2015

4. Ambiguity and robust statistics;Cerreia-Vioglio, Simone;J. Econom. Theory,2013

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