162 citations · 636 across the 23 of their papers we have counts for
Showing 2009 · math.PRShow all
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math.PR2009★ 2 cited
U-statistics and random subgraph counts: Multivariate normal approximation via exchangeable pairs and embedding
Gesine Reinert, Adrian Röllin
In a recent paper by the authors, a new approach--called the "embedding method"--was introduced, which allows to make use of exchangeable pairs for normal and multivariate normal a…
math.PR2009★ 75 cited
New rates for exponential approximation and the theorems of Rényi and Yaglom
Erol A. Peköz, Adrian Röllin
We introduce two abstract theorems that reduce a variety of complex exponential distributional approximation problems to the construction of couplings. These are applied to obtain…
math.PR2009★ 9 cited
A Three-Parameter Binomial Approximation
Vydas Čekanavičius, Erol A. Peköz, Adrian Röllin +1
We approximate the distribution of the sum of independent but not necessarily identically distributed Bernoulli random variables using a shifted binomial distribution where the thr…