308 citations · 395 across the 11 of their papers we have counts for
11 papers
Feller's upper-lower class test in Euclidean space
Uwe Einmahl
We provide an extension of Feller's upper-lower class test for the Hartman-Wintner LIL to the LIL in Euclidean space. We obtain this result as a corollary to a general upper-lower…
LIL type behaviour of multivariate Levy processes at zero
Uwe Einmahl
We study the almost sure behaviour of suitably normalised multivariate Levy processes as t goes to zero. Among other results we find necessary and sufficient conditions for a law o…
A general Darling-Erdös theorem in Euclidean space
Gauthier Dierickx, Uwe Einmahl
We provide an improved version of the Darling-Erdös theorem for sums of i.i.d. random variables with mean zero and finite variance. We extend this result to multidimensional random…
Cluster sets for partial sums and partial sum processes
Uwe Einmahl, Jim Kuelbs
Let be i.i.d. mean zero random vectors with values in a separable Banach space , for , and assume is a suitably re…
Characterization of LIL behavior in Banach space
Uwe Einmahl, Deli Li
In a recent paper by the authors a general result characterizing two-sided LIL behavior for real valued random variables has been established. In this paper, we show that there are…
Weighted uniform consistency of kernel density estimators with general bandwidth sequences
Julia Dony, Uwe Einmahl
We are interested in the rate of consistency of kernel density estimators with respect to the weighted sup-norm determined by some unbounded weight function. This problem has been…