On the conditional distributions of spatial point processes

Advances in Applied Probability

Volumn 43, Issue 2, 2011, Pages 301-307

  Caron, François ^a   Moral, Pierre Del ^a   Doucet, Arnaud ^b   Pace, Michele ^a  

^a INRIA   (France)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Filtering; Multitarget tracking; Probability hypothesis density filter; Spatial point process

Indexed keywords

CONDITIONAL DISTRIBUTION; MULTI-TARGET TRACKING; POINT PROCESS; POISSON POINT PROCESS; PROBABILITY HYPOTHESIS DENSITY FILTER; RANDOM MEASURES; SPATIAL POINT PROCESS;

POISSON DISTRIBUTION;

EID: 79960032665     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1308662479     Document Type: Article

References (9)

1. Daley, D. J. and Vere-Jones, D. (1988). An Introduction to the Theory of Point Processes, Springer, NewYork.
2. Lund, J. and Rudemo, M. (2000). Models for point processes observed with noise. Biometrika, 87, 235-249.
3. Lund, J. and Thönnes, E. (2004). Perfect simulation and inference for point processes given noisy observations. Comput. Statist. 19, 317-336. (Pubitemid 38739990)
4. Lund, J., Penttinen, A. and Rudemo, M. (1999). Bayesian analysis of spatial point patterns from noisy observations. Tech. Rep., Department of Mathematics and Physics, The Royal Veterinary and Agricultural University.
5. Mahler, R. P. S. (2003). Multi-target Bayes filtering via first-order multitarget moments. IEEE Trans. Aerospace Electronic Systems 39, 1152-1178.
6. Singh, S. S.,Vo, B.-N., Baddeley,A. and Zuyev, S. (2009). Filters for spatial point processes. SIAM J. Control Optimization 48, 2275-2295.
7. Stoyan, D., Kendall, W. S. and Mecke, J. (1995). Stochastic Geometry and Its Applications, 2nd edn. John Wiley, Chichester.
8. Van Lieshout, M. N. M. and Baddeley, A. J. (2002). Extrapolating and interpolating spatial patterns. In Spatial Cluster Modelling, Chapman & Hall/CRC, Boca Raton, FL.
9. Vo, B.-T., Vo, B.-N. and Cantoni, A. (2007). Analytic implementations of the cardinalized probability hypothesis density filter. IEEE Trans. Signal Process. 55, 3553-3567. (Pubitemid 47018838)