10 citations · 16 across the 5 of their papers we have counts for
5 papers
Central moment inequalities using Stein's method
A. D. Barbour, Nathan Ross, Yuting Wen
We derive explicit central moment inequalities for random variables that admit a Stein coupling, such as exchangeable pairs, size--bias couplings or local dependence, among others.…
On the emergence of random initial conditions in fluid limits
A. D. Barbour, P. Chigansky, F. C. Klebaner
The paper presents a phenomenon occurring in population processes that start near zero and have large carrying capacity. By the classical result of Kurtz~(1970), such processes, no…
Regenerative compositions in the case of slow variation: A renewal theory approach
Alexander Gnedin, Alexander Iksanov
A regenerative composition structure is a sequence of ordered partitions derived from the range of a subordinator by a natural sampling procedure. In this paper, we extend previous…
Couplings for irregular combinatorial assemblies
A. D. Barbour, Anna Pósfai
When approximating the joint distribution of the component counts of a decomposable combinatorial structure that is `almost' in the logarithmic class, but nonetheless has irregular…
Mod-discrete expansions
A. D. Barbour, E. Kowalski, A. Nikeghbali
In this paper, we consider approximating expansions for the distribution of integer valued random variables, in circumstances in which convergence in law cannot be expected. The se…