Analysis of inhibitory point processes derived from a sequence of auto-Poisson lattice schemes
by Jose M. Albert, Jorge Mateu and Jose C. Pernias
.
Abstract:
It is known that almost any purely inhibitory pairwise interaction point
process can be obtained as the limit of a suitable sequence of auto-Poisson
lattice schemes. In this context, several authors have used the
pseudo-likelihood parameter estimation procedure. However, there appears to
be no extensive simulation study to analyze the behaviour of such
parameter estimators as the number of grids increases.
In this paper, we review the limit theorems concerned, present a computer
software (SPPA) and analyze the results of a Monte Carlo simulation
study based on a particular pairwise interaction model.
Key Words:
Auto-Poisson distribution, lattice data,
pairwise interaction processes, SPPA, Strauss point process
Authors:
Jose M. Albert,
albert@eco.uji.es
Jose C. Pernias
,
pernias@eco.uji.es
Email#3
Editor:
Don Edwards
,
edwards@stat.sc.edu
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