82 citations · 103 across the 3 of their papers we have counts for
3 papers
q-bio.PE2009
The time to extinction for an SIS-household-epidemic model
Tom Britton, Peter Neal
We analyse a stochastic SIS epidemic amongst a finite population partitioned into households. Since the population is finite, the epidemic will eventually go extinct, i.e., have no…
math.PR2006★ 21 cited
Multitype randomized Reed--Frost epidemics and epidemics upon random graphs
Peter Neal
We consider a multitype epidemic model which is a natural extension of the randomized Reed--Frost epidemic model. The main result is the derivation of an asymptotic Gaussian limit…
math.PR2006★ 82 cited
Optimal scaling for partially updating MCMC algorithms
Peter Neal, Gareth Roberts
In this paper we shall consider optimal scaling problems for high-dimensional Metropolis--Hastings algorithms where updates can be chosen to be lower dimensional than the target de…