### Skapa referens, olika format (klipp och klistra)

**Harvard**

Broman, E. (2007) *Stochastic domination for a hidden markov chain with applications to the contact process in a randomly evolving environment*.

** BibTeX **

@article{

Broman2007,

author={Broman, Erik},

title={Stochastic domination for a hidden markov chain with applications to the contact process in a randomly evolving environment},

journal={Annals of Probability},

issn={0091-1798},

volume={35},

issue={6},

pages={2263-2293},

abstract={The ordinary contact process is used to model the spread of a disease in a population. In this model, each infected individual waits an exponentially distributed time with parameter 1 before becoming healthy. In this paper, we introduce and study the contact process in a randomly evolving environment. Here we associate to every individual an independent two-state, {0, 1}, background process. Given delta(0) < delta(1), if the background process is in state 0, the individual (if infected) becomes healthy at rate delta(0), while if the background process is in state 1, it becomes healthy at rate delta(1). By stochastically comparing the contact process in a randomly evolving environment to the ordinary contact process, we will investigate matters of extinction and that of weak and strong survival. A key step in our analysis is to obtain stochastic domination results between certain point processes. We do this by starting out in a discrete setting and then taking continuous time limits.},

year={2007},

keywords={SURVIVAL },

}

** RefWorks **

RT Journal Article

SR Print

ID 81425

A1 Broman, Erik

T1 Stochastic domination for a hidden markov chain with applications to the contact process in a randomly evolving environment

YR 2007

JF Annals of Probability

SN 0091-1798

VO 35

IS 6

SP 2263

OP 2293

AB The ordinary contact process is used to model the spread of a disease in a population. In this model, each infected individual waits an exponentially distributed time with parameter 1 before becoming healthy. In this paper, we introduce and study the contact process in a randomly evolving environment. Here we associate to every individual an independent two-state, {0, 1}, background process. Given delta(0) < delta(1), if the background process is in state 0, the individual (if infected) becomes healthy at rate delta(0), while if the background process is in state 1, it becomes healthy at rate delta(1). By stochastically comparing the contact process in a randomly evolving environment to the ordinary contact process, we will investigate matters of extinction and that of weak and strong survival. A key step in our analysis is to obtain stochastic domination results between certain point processes. We do this by starting out in a discrete setting and then taking continuous time limits.

LA eng

DO 10.1214/0091179606000001187

OL 30