8. Esseen's contribution and recent results in investigation of the rate of convergence in the central limit theorem
Starting from the central limit theorem due to Lyapunov we give an overview of Esseen’s fundamental results in investigation of the rate of convergence in the CLT. We present a wide class of Berry-Esseen-type inequalities providing estimates of the accuracy of the normal approximation to distributions of sums of independent random variables in various metrics and involving various...
Lutz Mattner (Universität Trier)
See [attached abstract here](https://indico.uu.se/event/459/material/0/0.pdf)
Jeffrey E. Steif
In this talk, I will discuss the mixing behavior of random walk on dynamical percolation. In this model, the edges of a graph G are either open or closed and they refresh their status at rate μ, while at the same time a random walker moves on G at rate 1, but only along edges which are open. Restricting to the d-dimensional torus with side length n, I will discuss the mixing time (how...
A sequence of Petersburg games is considered, and the asymptotics of the total gain is demonstrated. When the largest gains are deleted the total has another asymptotics which can be derived.
Adrian Röllin (National University of Singapore)
One key ingredient in Carl-Gustav Esseen’s proof of the Berry-Esseen bound is a smoothing inequality that quantifies the distance between two distribution functions in terms of the distance between their characteristic functions. What is well-known is how to use this inequality with a subsequent Taylor expansion of the characteristic functions to proof the Berry-Esseen bound. What is not so...
[See attached abstract](https://indico.uu.se/event/459/material/0/1.pdf)
We consider the approximation of a convolution of possibly different probability measures by a compound Poisson distribution and also by related signed measures of higher order. We present new total variation bounds having a better structure than those from the literature. A numerical example illustrates the usefulness of the bounds. The proofs use arguments from  and  in combination...
I will describe some crucial steps in the history of Swedish mathematical statistics, starting with the first timid steps at the beginning of the twentieth century, finishing with Carl Gustav Esseen's almost 20 years as professor at the Royal Institute of Technology, 1949-1967. I will illustrate the great influence he had on developing technologies as examples of the necessary but...