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June 2011 On the conditional distributions of spatial point processes
François Caron, Pierre Del Moral, Arnaud Doucet, Michele Pace
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Adv. in Appl. Probab. 43(2): 301-307 (June 2011).

Abstract

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).

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François Caron. Pierre Del Moral. Arnaud Doucet. Michele Pace. "On the conditional distributions of spatial point processes." Adv. in Appl. Probab. 43 (2) 301 - 307, June 2011.

Information

Published: June 2011
First available in Project Euclid: 21 June 2011

zbMATH: 1284.62588
MathSciNet: MR2848376

Subjects:
Primary: 62M30
Secondary: 60D05 , 93E11

Keywords: Filtering , multitarget tracking , probability hypothesis density filter , spatial point process

Rights: Copyright © 2011 Applied Probability Trust

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Vol.43 • No. 2 • June 2011
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