3 citations · 8 across the 8 of their papers we have counts for
10 papers
Smoothness and Lévy concentration function inequalities for distributions of random diagonal sums
Bero Roos
We present new explicit upper bounds for the smoothness of the distribution of the random diagonal sum of a random matrix , wh…
On the accuracy in a combinatorial central limit theorem: the characteristic function method
Bero Roos
The aim of this paper is to present a new proof of an explicit version of the Berry-Esséen type inequality of Bolthausen (Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte G…
New inequalities for permanents and hafnians and some generalizations
Bero Roos
We show new upper bounds for permanents and hafnians, which are particularly useful for complex matrices. Multidimensional permanents and hyperhafnians are considered as well. The…
Generalization of a Hadamard type inequality for permanents
Bero Roos
This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique u…
New permanent approximation inequalities via identities
Bero Roos
The aim of this paper is to present new upper bounds for the distance between a properly normalized permanent of a rectangular complex matrix and the product of the arithmetic mean…
Refined total variation bounds in the multivariate and compound Poisson approximation
Bero Roos
We consider the approximation of a convolution of possibly different probability measures by (compound) Poisson distributions and also by related signed measures of higher order. W…