162 citations · 636 across the 23 of their papers we have counts for
5 papers · 2 filters
On quantitative bounds in the mean martingale central limit theorem
Adrian Röllin
We provide explicit bounds on the Wasserstein distance between discrete time martingales and the standard normal distribution. The proofs are based on a combination of Lindeberg's…
Error bounds in local limit theorems using Stein's method
A. D. Barbour, Adrian Röllin, Nathan Ross
We provide a general result for bounding the difference between point probabilities of integer supported distributions and the translated Poisson distribution, a convenient alterna…
A central limit theorem for the gossip process
A. D. Barbour, A. Röllin
The Aldous gossip process represents the dissemination of information in geographical space as a process of locally deterministic spread, augmented by random long range transmissio…
Respondent driven sampling and sparse graph convergence
Siva Athreya, Adrian Röllin
We consider a particular respondent-driven sampling procedure governed by a graphon. By a specific clumping procedure of the sampled vertices we construct a sequence of sparse grap…
Kolmogorov bounds for the normal approximation of the number of triangles in the Erdos-Renyi random graph
Adrian Röllin
We bound the error for the normal approximation of the number of triangles in the Erdos-Renyi random graph with respect to the Kolmogorov metric. Our bounds match the best availabl…