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Modelling marked point patterns by intensity-marked Cox processes

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  • Ho, Lai Ping
  • Stoyan, D.

Abstract

This paper introduces two models of marked Cox point processes where the marks are constructed by means of the intensity function in order to obtain correlations between local point density and marks. Explicit expressions for various functional second-order characteristics are derived.

Suggested Citation

  • Ho, Lai Ping & Stoyan, D., 2008. "Modelling marked point patterns by intensity-marked Cox processes," Statistics & Probability Letters, Elsevier, vol. 78(10), pages 1194-1199, August.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:10:p:1194-1199
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    References listed on IDEAS

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    1. Shigeru Mase, 1996. "The threshold method for estimating total rainfall," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(2), pages 201-213, June.
    2. Martin Schlather & Paulo J. Ribeiro & Peter J. Diggle, 2004. "Detecting dependence between marks and locations of marked point processes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 79-93, February.
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    Cited by:

    1. Jiao Jieying & Hu Guanyu & Yan Jun, 2021. "A Bayesian marked spatial point processes model for basketball shot chart," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 17(2), pages 77-90, June.
    2. Diego Giuliani & Giuseppe Arbia & Giuseppe Espa, 2014. "Weighting Ripley’s K-Function to Account for the Firm Dimension in the Analysis of Spatial Concentration," International Regional Science Review, , vol. 37(3), pages 251-272, July.
    3. Yongtao Guan, 2011. "Bias-Corrected Variance Estimation and Hypothesis Testing for Spatial Point and Marked Point Processes Using Subsampling," Biometrics, The International Biometric Society, vol. 67(3), pages 926-936, September.
    4. Erin M. Schliep & Christopher K. Wikle & Ranadeep Daw, 2023. "Correcting for informative sampling in spatial covariance estimation and kriging predictions," Journal of Geographical Systems, Springer, vol. 25(4), pages 587-613, October.
    5. Brian Conroy & Lance A. Waller & Ian D. Buller & Gregory M. Hacker & James R. Tucker & Mark G. Novak, 2023. "A Shared Latent Process Model to Correct for Preferential Sampling in Disease Surveillance Systems," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(3), pages 483-501, September.
    6. Peter J. Diggle & Raquel Menezes & Ting‐li Su, 2010. "Geostatistical inference under preferential sampling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 191-232, March.

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