162 citations · 636 across the 23 of their papers we have counts for
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math.PR2010★ 41 cited
Local limit theorems via Landau-Kolmogorov inequalities
Adrian Röllin, Nathan Ross
In this article, we prove new inequalities between some common probability metrics. Using these inequalities, we obtain novel local limit theorems for the magnetization in the Curi…
math.PR2010★ 30 cited
Total variation error bounds for geometric approximation
Erol A. Peköz, Adrian Röllin, Nathan Ross
We develop a new formulation of Stein's method to obtain computable upper bounds on the total variation distance between the geometric distribution and a distribution of interest.…
math.PR2010★ 45 cited
Stein couplings for normal approximation
Louis H. Y. Chen, Adrian Röllin
In this article we propose a general framework for normal approximation using Stein's method. We introduce the new concept of Stein couplings and we show that it lies at the heart…