Some edge correction methods for marked spatio-temporal point process models
Artikel i vetenskaplig tidskrift, 2011

Three edge correction methods for (marked) spatio-temporal point processes are proposed. They are all based on the idea of placing an approximated expected behaviour of the process at hand (simulated realisations) outside the study region which interacts with the data during the estimation. These methods are applied to the so-called growth-interaction model. The specific choices of growth function and interaction function made are purely motivated by the forestry applications considered. The parameters of the growth and interaction functions, i.e. the parameters related to the development of the marks, are estimated using the least-squares approach together with the proposed edge corrections. Finally, the edge corrected estimation methods are applied to a data set of Swedish Scots pine.

time

marked point processes

growth

Least squares estimation

Forest data

neighborhood competition

spatial structure

space

Edge correction

Spatio-temporal

Författare

Ottmar Cronie

Göteborgs universitet

Chalmers, Matematiska vetenskaper, matematisk statistik

Aila Särkkä

Göteborgs universitet

Chalmers, Matematiska vetenskaper, matematisk statistik

Computational Statistics and Data Analysis

0167-9473 (ISSN)

Vol. 55 2209-2220

Ämneskategorier

Beräkningsmatematik

DOI

10.1016/j.csda.2011.01.022