TY - JOUR
T1 - Statistics for the contact process
AU - Fiocco, Marta
AU - Van Zwet, Willem R.
PY - 2002/5
Y1 - 2002/5
N2 - A d-dimensional contact process is a simplified model for the spread of an infection on the lattice ℤd. At any given time t≥0, certain sites x ∈ ℤd are infected while the remaining once are healthy. Infected sites recover at constant rate 1, while healthy sites are infected at a rate proportional to the number of infected neighboring sites. The model is parametrized by the proportionality constant λ If λ is sufficiently small, infection dies out (subcritical process), whereas if λ is sufficiently large infection tends to be permanent (supercritical process). In this paper we study the estimation problem for the parameter λ of the supercritical contact process starting with a single infected site at the origin. Based on an observation of this process at a single time t, we obtain an estimator for the parameter λ which is consistent and asymptotically normal as t → ∞.
AB - A d-dimensional contact process is a simplified model for the spread of an infection on the lattice ℤd. At any given time t≥0, certain sites x ∈ ℤd are infected while the remaining once are healthy. Infected sites recover at constant rate 1, while healthy sites are infected at a rate proportional to the number of infected neighboring sites. The model is parametrized by the proportionality constant λ If λ is sufficiently small, infection dies out (subcritical process), whereas if λ is sufficiently large infection tends to be permanent (supercritical process). In this paper we study the estimation problem for the parameter λ of the supercritical contact process starting with a single infected site at the origin. Based on an observation of this process at a single time t, we obtain an estimator for the parameter λ which is consistent and asymptotically normal as t → ∞.
KW - Contact process
KW - Statistical estimation
KW - Supercritical contact process
UR - http://www.scopus.com/inward/record.url?scp=0036012649&partnerID=8YFLogxK
U2 - 10.1111/1467-9574.00197
DO - 10.1111/1467-9574.00197
M3 - Article
AN - SCOPUS:0036012649
SN - 0039-0402
VL - 56
SP - 243
EP - 251
JO - Statistica Neerlandica
JF - Statistica Neerlandica
IS - 2
ER -