4 papers
Conditional bias reduction can be dangerous: a key example from sequential analysis
Ben Berckmoes, Anna Ivanova, Geert Molenberghs
We present a key example from sequential analysis, which illustrates that conditional bias reduction can cause infinite mean absolute error.
On asymptotic normality in estimation after a group sequential trial
Ben Berckmoes, Anna Ivanova, Geert Molenberghs
We prove that in many realistic cases, the ordinary sample mean after a group sequential trial is asymptotically normal if the maximal number of observations increases. We derive t…
A compactness result in approach theory with an application to the continuity approach structure
Ben Berckmoes
We establish a compactness result in approach theory which we apply to obtain a generalization of Prokhorov's Theorem for the continuity approach structure.
An Arzelà-Ascoli theorem for the Hausdorff measure of noncompactness
Ben Berckmoes
We generalize the Arzelà-Ascoli theorem in the space of continuous maps on a compact interval with values in Euclidean N-space by providing a quantitative link between the Hausdorf…