Schuhmacher, Dominic; Hüsler, André; Dümbgen, Lutz - In: Statistics & Risk Modeling 28 (2011) 3, pp. 277-295
Abstract In this paper we show that the family P d (lc) of probability distributions on ℝ d with log-concave densities satisfies a strong continuity condition. In particular, it turns out that weak convergence within this family entails (i) convergence in total variation distance, (ii)...