20 citations · 35 across the 3 of their papers we have counts for
3 papers
math.PR2012★ 4 cited
On rates of convergence and Berry-Esseen bounds for random sums of centered random variables with finite third moments
Christian Döbler
We show, how the classical Berry-Esseen theorem for normal approximation may be used to derive rates of convergence for random sums of centerd, real-valued random variables with re…
math.PR2012★ 20 cited
Stein's method of exchangeable pairs for absolutely continuous, univariate distributions with applications to the Polya urn model
Christian Döbler
We propose a way of finding a Stein type characterization of a given absolutely continuous distribution on which is motivated by a regression property satisfied by an exch…
math.PR2012★ 11 cited
A rate of convergence for the arcsine law by Stein's method
Christian Döbler
Using Stein's method for the Beta distributions and a recent technique by Goldstein and Reinert of comparing the Stein characterization of the target distribution with that of the…