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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. 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.
    2. 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.
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    Cited by:

    1. 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.
    2. Peter J. Diggle & Raquel Menezes & Tingā€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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