23 citations · 47 across the 14 of their papers we have counts for
4 papers · 1 filter
A functional combinatorial central limit theorem
A. D. Barbour, Svante Janson
The paper establishes a functional version of the Hoeffding combinatorial central limit theorem. First, a pre-limiting Gaussian process approximation is defined, and is shown to be…
Local limit approximations for Markov population processes
Sanda N. Socoll, A. D. Barbour
The paper is concerned with the equilibrium distribution of the -th element in a sequence of continuous-time density dependent Markov processes on the integers. Under a $(…
Translated Poisson approximation to equilibrium distributions of Markov population processes
Sanda N. Socoll, A. D. Barbour
The paper is concerned with the equilibrium distributions of continuous-time density dependent Markov processes on the integers. These distributions are known typically to be appro…
Univariate approximations in the infinite occupancy scheme
A. D. Barbour
The paper concerns the classical occupancy scheme with infinitely many boxes. We establish approximations to the distributions of the number of occupied boxes, and of the number of…