7 citations · 16 across the 10 of their papers we have counts for
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The Smallest Probability Interval a Sequence Is Random for: A Study for Six Types of Randomness
Floris Persiau, Jasper De Bock, Gert de Cooman
There are many randomness notions. On the classical account, many of them are about whether a given infinite binary sequence is random for some given probability. If so, this proba…
Average Behaviour in Discrete-Time Imprecise Markov Chains: A Study of Weak Ergodicity
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…
Global Upper Expectations for Discrete-Time Stochastic Processes: In Practice, They Are All The Same!
Natan T'Joens, Jasper De Bock
We consider three different types of global uncertainty models for discrete-time stochastic processes: measure-theoretic upper expectations, game-theoretic upper expectations and a…
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…
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…
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…