Advances in Applied Probability
- Adv. in Appl. Probab.
- Volume 43, Number 2 (2011), 301-307.
On the conditional distributions of spatial point processes
We consider the problem of estimating a latent point process, given the realization of another point process. We establish an expression for the conditional distribution of a latent Poisson point process given the observation process when the transformation from the latent process to the observed process includes displacement, thinning, and augmentation with extra points. Our original analysis is based on an elementary and self-contained random measure theoretic approach. This simplifies and complements previous derivations given in Mahler (2003), and Singh, Vo, Baddeley and Zuyev (2009).
Adv. in Appl. Probab. Volume 43, Number 2 (2011), 301-307.
First available in Project Euclid: 21 June 2011
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Caron, François; Del Moral, Pierre; Doucet, Arnaud; Pace, Michele. On the conditional distributions of spatial point processes. Adv. in Appl. Probab. 43 (2011), no. 2, 301--307.https://projecteuclid.org/euclid.aap/1308662479