Department of Mathematics
The generating function of a marginal distribution of the reduced Palm distribution of a spatial point process is considered. It serves as a bivariate summary function, providing more information than some other popular univariate summary functions, such as the reduced second-moment function and the nearest-neighbour distance distribution function. Simulation confirmed that the new summary function is more informative when applied to patterns that exhibit both clustering and regularity on the same scale of observation. © 2008 Taylor & Francis.
Generating function, Reduced Palm distribution, Spatial point process
Source Publication Title
Journal of Statistical Computation and Simulation
Taylor & Francis
This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Statistical Computation and Simulation in December 2008, available online: http://dx.doi.org/10.1080/00949650701709327.
This research was partially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Nos. HKBU2048/02P, HKBU200503 and HKBU200605) and a Faculty Research Grant of the Hong Kong Baptist University.
Link to Publisher's Edition
Chiu, Sung Nok. "Reduced palm distribution generating function for a spatial point process." Journal of Statistical Computation and Simulation 12.78 (2007): 1239-1248.