The contact process - and more generally interacting particle systems - are useful and interesting models for a variety of statistical problems. This paper is concerned with maximum likelihood estimation of the parameters of the process for the case where the process is supercritical, starts with a single infected site at the origin and is observed during a long time interval [0,t]. We construct the estimators and prove their consistency and asymptotic normality as t→∞. We also discuss the relation with the estimation problem for the process observed at a single large time.
|Tijdschrift||Journal of Computational and Applied Mathematics|
|Nummer van het tijdschrift||1 SPEC. ISS.|
|Status||Gepubliceerd - 1 feb. 2006|