Advances in Applied Probability
- Adv. in Appl. Probab.
- Volume 38, Number 4 (2006), 873-888.
The permanental process
We extend the boson process first to a large class of Cox processes and second to an even larger class of infinitely divisible point processes. Density and moment results are studied in detail. These results are obtained in closed form as weighted permanents, so the extension is called a permanental process. Temporal extensions and a particularly tractable case of the permanental process are also studied. Extensions of the fermion process along similar lines, leading to so-called determinantal processes, are discussed.
Adv. in Appl. Probab. Volume 38, Number 4 (2006), 873-888.
First available in Project Euclid: 6 December 2006
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Boson process Cox process density of spatial point process determinantal process factorial moment measure fermion process Gaussian process infinite divisibility simulation spatio-temporal process weighted permanent
McCullagh, Peter; Møller, Jesper. The permanental process. Adv. in Appl. Probab. 38 (2006), no. 4, 873--888.https://projecteuclid.org/euclid.aap/1165414583