TY - JOUR
T1 - Second-order variational equations for spatial point processes with a view to pair correlation function estimation
AU - Coeurjolly, Jean François
AU - Cuevas-Pacheco, Francisco
AU - Waagepetersen, Rasmus
PY - 2019/4/1
Y1 - 2019/4/1
N2 - Second-order variational type equations for spatial point processes are established. In case of log linear parametric models for pair correlation functions, it is demonstrated that the variational equations can be applied to construct estimating equations with closed form solutions for the parameter estimates. This result is used to fit orthogonal series expansions of log pair correlation functions of general form.
AB - Second-order variational type equations for spatial point processes are established. In case of log linear parametric models for pair correlation functions, it is demonstrated that the variational equations can be applied to construct estimating equations with closed form solutions for the parameter estimates. This result is used to fit orthogonal series expansions of log pair correlation functions of general form.
KW - Estimating equation
KW - Non-parametric estimation
KW - Orthogonal series expansion
KW - Pair correlation function
KW - Variational equation
UR - http://www.scopus.com/inward/record.url?scp=85063907681&partnerID=8YFLogxK
U2 - 10.1016/j.spasta.2019.03.001
DO - 10.1016/j.spasta.2019.03.001
M3 - Journal article
AN - SCOPUS:85063907681
SN - 2211-6753
VL - 30
SP - 103
EP - 115
JO - Spatial Statistics
JF - Spatial Statistics
ER -