B
Ben Berckmoes
Researcher at University of Antwerp
Publications - 31
Citations - 105
Ben Berckmoes is an academic researcher from University of Antwerp. The author has contributed to research in topics: Confidence interval & Random variable. The author has an hindex of 6, co-authored 31 publications receiving 94 citations.
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Distances on probability measures and random variables
TL;DR: In this paper, the authors lift fundamental topological structures on probability measures and random variables, in particular the weak topology, convergence in law and finite-dimensional convergence to an isometric level.
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Approach theory meets probability theory
TL;DR: In this paper, the basic topological and metric structures on spaces of probability measures and random variables, such as the weak topology and the total variation metric, are revisited and compared with more intrinsic and richer approach structures.
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An isometric study of the Lindeberg–Feller central limit theorem via Stein’s method
TL;DR: In this paper, the superior limit of the Kolmogorov distance between a normally distributed random variable and the sums of a rowwise independent triangular array of random variables was shown to be asymptotically negligible.
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Unbiasedness and efficiency of non-parametric and UMVUE estimators of the probabilistic index and related statistics.
Johan Verbeeck,Vaiva Deltuvaite-Thomas,Ben Berckmoes,Tomasz Burzykowski,Tomasz Burzykowski,Marc Aerts,Olivier Thas,Olivier Thas,Olivier Thas,Marc Buyse,Geert Molenberghs,Geert Molenberghs +11 more
TL;DR: This paper shows that the Mann–Whitney estimator is always an unbiased estimator of the PI with univariate, completely observed data, while the parametric UMVUE is not when the distribution is misspecified.
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An isometric study of the Lindeberg-Feller CLT via Stein's method
TL;DR: In this paper, Stein's method was used to prove a generalization of the Lindeberg-Feller CLT providing an upper and a lower bound for the superior limit of the Kolmogorov distance between a normally distributed random variable and the rowwise sums of a row-wise independent triangular array of random variables.