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math.PR2020
Axiomatic Tests for the Boltzmann Distribution
Simone Cerreia-Vioglio, Fabio Maccheroni, Massimo Marinacci +1
The Boltzmann distribution describes a single parameter (temperature) family of probability distributions over a state space; at any given temperature, the ratio of probabilities o…
math.PR2005★ 112 cited
A strong law of large numbers for capacities
Fabio Maccheroni, Massimo Marinacci
We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random variables. We show that, on a full set, any cluster point of empirical averages…