TY - RPRT
T1 - Properties of residuals for spatial point processes
AU - Baddeley, A.
AU - Møller, Jesper
AU - Pakes, A.G.
PY - 2006
Y1 - 2006
N2 - For any point process in $R^d$ that has a Papangelou conditional intensity $lambda$,
we define a random measure of ‘innovations’ which has mean zero. When the
point process model parameters are estimated from data, there is an analogous
random measure of ‘residuals’. We analyse properties of the innovations and
residuals, including first and second moments, conditional independence, a
martingale property, lack of correlation, and marginal distributions.
AB - For any point process in $R^d$ that has a Papangelou conditional intensity $lambda$,
we define a random measure of ‘innovations’ which has mean zero. When the
point process model parameters are estimated from data, there is an analogous
random measure of ‘residuals’. We analyse properties of the innovations and
residuals, including first and second moments, conditional independence, a
martingale property, lack of correlation, and marginal distributions.
M3 - Report
T3 - Research Report Series
BT - Properties of residuals for spatial point processes
PB - Department of Mathematical Sciences, Aalborg University
ER -