4 citations · 17 across the 23 of their papers we have counts for
6 papers · 1 filter
Independence in Mathematics -- the key to a Gaussian law
Gunther Leobacher, Joscha Prochno
In this manuscript we discuss the notion of (statistical) independence embedded in its historical context. We focus in particular on its appearance and role in number theory, conco…
Berry-Esseen bounds for random projections of -balls
Samuel G. G. Johnston, Joscha Prochno
In this work we study the rate of convergence in the central limit theorem for the Euclidean norm of random orthogonal projections of vectors chosen at random from an -ba…
A new look at random projections of the cube and general product measures
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
A strong law of large numbers for -dimensional random projections of the -dimensional cube is derived. It shows that with respect to the Hausdorff distance a properly normali…
Tractability properties of the discrepancy in Orlicz norms
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer +1
We show that the minimal discrepancy of a point set in the -dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular,…
High-dimensional limit theorems for random vectors in -balls. II
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
In this article we prove three fundamental types of limit theorems for the -norm of random vectors chosen at random in an -ball in high dimensions. We obtain a central…
Embeddings of Orlicz-Lorentz spaces into
Joscha Prochno
In this article, we show that Orlicz-Lorentz spaces , with Orlicz function and weight sequence are uniformly isomorphic to subspaces of …