6 papers
Balls and Bins -- Simple Concentration Bounds
Ernst Schulte-Geers, Bo Waggoner
Concentration bounds are given for throwing balls into bins independently according to a distribution . The probability of a -loaded bin after balls is shown to be contro…
Small drift limit theorems for random walks
Ernst Schulte-Geers, Wolfgang Stadje
We show analogs of the classical arcsine theorem for the occupation time of a random walk in in the case of a small positive drift. To study the asymptotic behavior o…
Optimization results for a generalized coupon collector problem
Emmanuelle Anceaume, Yann Busnel, Ernst Schulte-Geers +1
We study in this paper a generalized coupon collector problem, which consists in analyzing the time needed to collect a given number of distinct coupons that are drawn from a set o…
On (Multi)-Collision Times
Ernst Schulte-Geers
A detailed study of the waiting times for the first (multi)-collision in a drawing process.
Maximal percentages in Polya's urn
Ernst Schulte-Geers, Wolfgang Stadje
We show that the supremum of the successive percentages of red balls in Pólya's urn model is almost surely rational, give the set of values that are taken with positive probability…
Distributions defined by q-supernomials, fusion products, and Demazure modules
Stavros Kousidis, Ernst Schulte-Geers
We prove asymptotic normality of the distributions defined by q-supernomials, which implies asymptotic normality of the distributions given by the central string functions and the…