Joscha Prochno

most citedOn the Gaussian behavior of marginals and the mean width of random polytopes

2 citations · 3 across the 4 of their papers we have counts for

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math.FA2012★ 2 cited

On the Gaussian behavior of marginals and the mean width of random polytopes

David Alonso-Gutierrez, Joscha Prochno

We show that the expected value of the mean width of a random polytope generated by $N$ random vectors ( $n \leq N \leq e^{n}$ ) uniformly distributed in an isotropic convex body…

math.FA2012★ 1 cited

Estimating Support Functions of Random Polytopes via Orlicz Norms

David Alonso-Gutierrez, Joscha Prochno

We study the expected value of support functions of random polytopes in a certain direction, where the random polytope is given by independent random vectors uniformly distributed…

math.FA2012

An Inversion Formula for Orlicz Norms and Sequences of Random Variables

Soeren Christensen, Joscha Prochno, Stiene Riemer

Given an Orlicz function $M$ , we show which random variables $ξ_{i}$ , $i = 1, ..., n$ generate the associated Orlicz norm, i.e., which random variables yield $\mathbb{E} \max\limits_{1\l…

math.FA2012

On the Maximum of Random Variables on Product Spaces

Joscha Prochno, Stiene Riemer

Let $ξ_{i}$ , $i = 1, ..., n$ , and $η_{j}$ , $j = 1, ..., m$ be iid p-stable respectively q-stable random variables, $1 < p < q < 2$ . We prove estimates for $\Ex_{Ω_1} \Ex_{Ω_2}\max_{i,j}\abs{a_{ij}ξ_…