Conditionally heteroscedastic intensity-dependent marking of log Gaussian Cox processes

Statistica Neerlandica

Volumn 63, Issue 4, 2009, Pages 450-473

  Myllymäki, Mari ^a   Penttinen, Antti ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

Bayesian modelling; Density dependence; Marked point process; Tropical rainforest

Indexed keywords

EID: 70450230391     PISSN: 00390402     EISSN: 14679574     Source Type: Journal    
DOI: 10.1111/j.1467-9574.2009.00433.x     Document Type: Article

References (28)

1. Baddeley, A. J. R. Turner (2005 Spatstat: An R package for analysing spatial point patterns, Journal of Statistical Software 12, 1 42.
2. Daley, D. J. D. Vere-Jones (2003 An introduction to the theory of point processes, Springer-Verlag, New York.
3. Condit, R. (1998 Tropical forest census plots, Springer-Verlag, Berlin, Germany R.G. Landes Company, Georgetown, Texas.
4. Condit, R., S. P. Hubbell R. B. Foster (1996 Changes in tree species abundance in a neotropical forest: impact of climate change, Journal of Tropical Ecology 12, 231 256.
5. Diggle, P. J., R. Menezes T.-L. Su (2010 Geostatistical analysis under preferential sampling Applied Statistics 59, Part 2, 1 20.
6. Guan, Y. (2006 A composite likelihood approach in fitting spatial point process models, Journal of the American Statistical Association 101, 1502 1512.
7. Guan, Y. M. Sherman (2007 On least squares fitting for stationary point processes, Journal of the Royal Statistical Society, Series B 69, 31 49.
8. Ho, L. P. (2006 Complete spatial randomness tests, intensity-dependent marking and neighborhood competition of spatial point processes with applications to ecology, PhD. Thesis, Hong Kong Baptist University.
9. Ho, L. P. D. Stoyan (2008 Modelling marked point patterns by intensity-marked Cox processes, Statistics & Probability Letters 78, 1194 1199.
10. Hubbell, S. P. R. B. Foster (1983 Diversity of canopy trees in a neotropical forest and implications for conservation, in : S. L. Sutton, T. C. Whitmore A. C. Chadwick (eds Tropical rain forest: ecology and management, Blackwell Scientific Publications, Oxford, pp. 24 41.
11. Illian, J., A. Penttinen, H. Stoyan D. Stoyan (2008 Statistical analysis and modelling of spatial point patterns, John Wiley & Sons, Chichester.
12. Mase, S. (1996 The threshold method for estimating total rainfall, Annals of the Institute of Statistical Mathematics 48, 201 213.
13. Menezes, R. (2005 Assessing spatial dependency under non-standard sampling, PhD Thesis (ISBN 84-9750-595-6), Universidad de Santiago de Compostela, Santiago de Compostela, Spain.
14. Møller, J. R. P. Waagepetersen (2002 Statistical inference for Cox processes, in : A. B. Lawson D. G. T. Denison (eds Spatial cluster modelling, Chapman & Hall, Boca Raton, pp. 37 60.
15. Møller, J. R. P. Waagepetersen (2003 An introduction to simulation-based inference for spatial point processes, in : J. Møller (eds Spatial statistics and computational methods, Springer-Verlag, New York, pp. 143 198.
16. Møller, J. R. P. Waagepetersen (2004 Statistical inference and simulation for spatial point prosecces, Chapman & Hall/CRC, Boca Raton.
17. Møller, J., A. R. Syversveen R. P. Waagepetersen (1998 Log Gaussian Cox processes, Scandinavian Journal of Statistics 25, 451 482.
18. Myllymäki, M. (2006 On intensity-dependent marking of log Gaussian Cox processes, MSc Thesis, University of Jyväskylä, Finland.
19. Rue, H. L. Held (2005 Gaussian Markov random fields: theory and applications, Chapman & Hall/CRC, Boca Raton.
20. Schlather, M. (2001a On the second-order characteristics of marked point processes, Bernoulli 7, 99 117.
21. Schlather, M. (2001b Simulation and analysis of random fields, R-News 1, 18 20.
22. Schlather, M. S., P. J. Ribeiro P. J. Diggle (2004 Detecting dependence between marks and locations of marked point processes, Journal of the Royal Statistical Society, Series B 66, 79 93.
23. Stoyan, D. H. Stoyan (1994 Fractals, random shapes and point fields, John Wiley & Sons, Chichester.
24. Stoyan, D. O. Wälder (2000 On variograms in point process statistics, II: models of markings and ecological interpretation, Biometrical Journal 42, 171 187.
25. Stoyan, D., W. S. Kendall J. Mecke (1995 Stochastic geometry and its applications, John Wiley & Sons, Chichester.
26. Tanaka, U., Y. Ogata D. Stoyan (2008 Parameter estimation and model selection for Neyman-Scott point processes, Biometrical Journal 50, 43 57.
27. Wälder, O. D. Stoyan (1996 On variograms in point process statistics, Biometrical Journal 38, 895 905. (Pubitemid 126345579)
28. Wolpert, R. L. K. Ickstadt (1998 Poisson/gamma random field models for spatial statistics, Biometrika 85, 251 267.