23 citations · 83 across the 23 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…
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…
A Recursive Algorithm for Computing Inferences in Imprecise Markov Chains
Natan T'Joens, Thomas Krak, Jasper De Bock +1
We present an algorithm that can efficiently compute a broad class of inferences for discrete-time imprecise Markov chains, a generalised type of Markov chains that allows one to t…
Monte Carlo Estimation for Imprecise Probabilities: Basic Properties
Arne Decadt, Gert de Cooman, Jasper De Bock
We describe Monte Carlo methods for estimating lower envelopes of expectations of real random variables. We prove that the estimation bias is negative and that its absolute value s…
Continuity Properties of Game-theoretic Upper Expectations
Natan T'Joens, Jasper De Bock, Gert de Cooman
We consider discrete-time uncertain processes with finite state space and study the properties of game-theoretic upper expectations developed by Shafer and Vovk. We start by provin…