TY - BOOK
T1 - A J-function for inhomogeneous point processes
AU - Lieshout, van, M.N.M.
PY - 2010
Y1 - 2010
N2 - Abstract:
We propose new summary statistics for intensity-reweighted moment stationary point processes that generalise the well known J-, empty space, and nearest-neighbour distance distribution functions, represent them in terms of generating functionals and conditional intensities, and relate them to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.
Keywords & Phrases:
Conditional intensity, empty space function, generating functional, J-function, nearest-neighbour distance distribution function, inhomogeneity, intensity-reweighted moment stationarity, marked point process, minus sampling estimator, product density, reduced second moment measure, spatial interaction.
AB - Abstract:
We propose new summary statistics for intensity-reweighted moment stationary point processes that generalise the well known J-, empty space, and nearest-neighbour distance distribution functions, represent them in terms of generating functionals and conditional intensities, and relate them to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.
Keywords & Phrases:
Conditional intensity, empty space function, generating functional, J-function, nearest-neighbour distance distribution function, inhomogeneity, intensity-reweighted moment stationarity, marked point process, minus sampling estimator, product density, reduced second moment measure, spatial interaction.
M3 - Report
T3 - CWI Report
BT - A J-function for inhomogeneous point processes
PB - Centrum voor Wiskunde en Informatica
CY - Amsterdam
ER -