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Discussion of the Paper “Marked Spatial Point Processes: Current State and Extensions to Point Processes on Linear Networks”

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  • Ottmar Cronie

    (Chalmers University of Technology and University of Gothenburg)

  • Julia Jansson

    (Chalmers University of Technology and University of Gothenburg)

  • Konstantinos Konstantinou

    (Chalmers University of Technology and University of Gothenburg)

Abstract

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  • Ottmar Cronie & Julia Jansson & Konstantinos Konstantinou, 2024. "Discussion of the Paper “Marked Spatial Point Processes: Current State and Extensions to Point Processes on Linear Networks”," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 29(2), pages 379-388, June.
    • Handle: RePEc:spr:jagbes:v:29:y:2024:i:2:d:10.1007_s13253-024-00606-0
    DOI: 10.1007/s13253-024-00606-0
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    References listed on IDEAS

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    1. A. J. Baddeley & J. Møller & R. Waagepetersen, 2000. "Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 54(3), pages 329-350, November.
    2. Frédéric Lavancier & Ronan Le Guével, 2021. "Spatial birth–death–move processes: Basic properties and estimation of their intensity functions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(4), pages 798-825, September.
    3. Jean-Franois Coeurjolly & David Dereudre & Rémy Drouilhet & Frédéric Lavancier, 2012. "Takacs–Fiksel Method for Stationary Marked Gibbs Point Processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(3), pages 416-443, September.
    4. O. Cronie & M. N. M. Van Lieshout, 2015. "A J -function for Inhomogeneous Spatio-temporal Point Processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 42(2), pages 562-579, June.
    5. M. Lieshout, 2006. "A J-Function for Marked Point Patterns," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(2), pages 235-259, June.
    6. Jiří Dvořák & Tomáš Mrkvička & Jorge Mateu & Jonatan A. González, 2022. "Nonparametric Testing of the Dependence Structure Among Points–Marks–Covariates in Spatial Point Patterns," International Statistical Review, International Statistical Institute, vol. 90(3), pages 592-621, December.
    7. Mohammad Ghorbani & Ottmar Cronie & Jorge Mateu & Jun Yu, 2021. "Functional marked point processes: a natural structure to unify spatio-temporal frameworks and to analyse dependent functional data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(3), pages 529-568, September.
    8. Jean-François Coeurjolly & Frédéric Lavancier, 2013. "Residuals and goodness-of-fit tests for stationary marked Gibbs point processes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 75(2), pages 247-276, March.
    9. Edith Gabriel & Peter J. Diggle, 2009. "Second‐order analysis of inhomogeneous spatio‐temporal point process data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(1), pages 43-51, February.
    10. A. Iftimi & O. Cronie & F. Montes, 2019. "Second‐order analysis of marked inhomogeneous spatiotemporal point processes: Applications to earthquake data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 46(3), pages 661-685, September.
    11. Sarkka, Aila & Renshaw, Eric, 2006. "The analysis of marked point patterns evolving through space and time," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1698-1718, December.
    12. Jesper Møller & Mohammad Ghorbani, 2012. "Aspects of second-order analysis of structured inhomogeneous spatio-temporal point processes," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 66(4), pages 472-491, November.
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    Cited by:

    1. Ignacio González-Pérez & María Isabel Borrajo & Wenceslao González-Manteiga, 2025. "Nonparametric testing of first-order structure in point processes on linear networks," Statistical Papers, Springer, vol. 66(2), pages 1-38, February.

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