Reduced Palm distribution generating function for a spatial point process

Sung Nok Chiu

doi:10.1080/00949650701709327

Reduced Palm distribution generating function for a spatial point process

Sung Nok Chiu

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	1241-1250
Number of pages	10
Journal	Journal of Statistical Computation and Simulation
Volume	78
Issue number	12
DOIs	https://doi.org/10.1080/00949650701709327
Publication status	Published - Dec 2008

Scopus Subject Areas

Statistics and Probability
Modelling and Simulation
Statistics, Probability and Uncertainty
Applied Mathematics

User-Defined Keywords

Generating function
Reduced Palm distribution
Spatial point process

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10.1080/00949650701709327

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Cite this

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abstract = "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.",

keywords = "Generating function, Reduced Palm distribution, Spatial point process",

author = "Chiu, {Sung Nok}",

note = "Funding Information: 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. I thank the referee and the associate editor for their valuable comments.",

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N2 - 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.

AB - 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.

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Reduced Palm distribution generating function for a spatial point process

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