TY - JOUR
T1 - Aspects of second-order analysis of structured inhomogeneous spatio-temporal processes
AU - Møller, Jesper
AU - Ghorbani, Mohammad
PY - 2012/11
Y1 - 2012/11
N2 - Statistical methodology for spatio-temporal point processes is in its infancy. We consider second-order analysis based on pair correlation functions and K-functions for general inhomogeneous spatio-temporal point processes and for inhomogeneous spatio-temporal Cox processes. Assuming spatio-temporal separability of the intensity function, we clarify different meanings of second-order spatio-temporal separability. One is second-order spatio-temporal independence and relates to log-Gaussian Cox processes with an additive covariance structure of the underlying spatio-temporal Gaussian process. Another concerns shot-noise Cox processes with a separable spatio-temporal covariance density. We propose diagnostic procedures for checking hypotheses of second-order spatio-temporal separability, which we apply on simulated and real data.
AB - Statistical methodology for spatio-temporal point processes is in its infancy. We consider second-order analysis based on pair correlation functions and K-functions for general inhomogeneous spatio-temporal point processes and for inhomogeneous spatio-temporal Cox processes. Assuming spatio-temporal separability of the intensity function, we clarify different meanings of second-order spatio-temporal separability. One is second-order spatio-temporal independence and relates to log-Gaussian Cox processes with an additive covariance structure of the underlying spatio-temporal Gaussian process. Another concerns shot-noise Cox processes with a separable spatio-temporal covariance density. We propose diagnostic procedures for checking hypotheses of second-order spatio-temporal separability, which we apply on simulated and real data.
UR - http://www.scopus.com/inward/record.url?scp=84867398452&partnerID=8YFLogxK
U2 - 10.1111/j.1467-9574.2012.00526.x
DO - 10.1111/j.1467-9574.2012.00526.x
M3 - Journal article
SN - 0039-0402
VL - 66
SP - 472
EP - 491
JO - Statistica Neerlandica
JF - Statistica Neerlandica
IS - 4
ER -