49 citations · 298 across the 30 of their papers we have counts for
Showing 2010Show all
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math.PR2010★ 1 cited
The greatest convex minorant of Brownian motion, meander, and bridge
Jim Pitman, Nathan Ross
This article contains both a point process and a sequential description of the greatest convex minorant of Brownian motion on a finite interval. We use these descriptions to provid…
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.…