Parameter estimation for the supercritical contact process

Marta Fiocco, Willem R. Van Zwet

Onderzoeksoutput: Bijdrage aan tijdschriftArtikelpeer review

7 Citaten (Scopus)


Contact processes - and, more generally, interacting particle processes - can serve as models for a large variety of statistical problems, especially if we allow some simple modifications that do not essentially complicate the mathematical treatment of these processes. We begin a statistical study of the supercritical contact process that starts with a single infected site at the origin and is conditioned on survival of the infection. We consider the statistical problem of estimating the parameter λ of the process on the basis of an observation of the process at a single time t. We propose an estimator of λ and show that it is consistent and asymptotically normal as t → ∞.

Originele taal-2Engels
Pagina's (van-tot)1071-1092
Aantal pagina's22
Nummer van het tijdschrift6
StatusGepubliceerd - dec. 2003
Extern gepubliceerdJa


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