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math.PR2020
A Particular Upper Expectation as Global Belief Model for Discrete-Time Finite-State Uncertain Processes
Natan T'Joens, Jasper De Bock, Gert de Cooman
To model discrete-time finite-state uncertain processes, we argue for the use of a global belief model in the form of an upper expectation that is the most conservative one under a…
math.PR2020
Computable randomness is about more than probabilities
Floris Persiau, Jasper De Bock, Gert de Cooman
We introduce a notion of computable randomness for infinite sequences that generalises the classical version in two important ways. First, our definition of computable randomness i…
math.PR2020
Limit Behaviour of Upper and Lower Expected Time Averages in Discrete-Time Imprecise Markov Chains
Natan T'Joens, Jasper De Bock
We study the limit behaviour of upper and lower bounds on expected time averages in imprecise Markov chains; a generalised type of Markov chain where the local dynamics, traditiona…