This tag is for questions concerning point processes such as poisson point processes or any other point process.
Questions tagged [point-processes]
107 questions
2
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Gibbs point process
I am reading in the book Spatial Point Patterns by Baddley et al. that "all finite point process models (under reasonable conditions) can be represented mathematically as Gibbs models". I couldn't find any reference for this statement. Any insight…
user2167741
- 463
2
votes
1 answer
Measurability of point processes
I am reading the "Construction of Diffusion processes with Wentzell's Boundary conditions by means of poisson point processes of Browninan excursions" of S. Watanabe and he says:
I understand that to say that $N_p((0,t]\times U)$ is $\mathcal{F}_t$…
Conrado Costa
- 6,071
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vote
1 answer
expectations in poisson point process
here, $\Phi_e$ is a poisson point process and $\eta_k$ a random variable having exponential distribution.
I'm having trouble in understanding how this equality holds?
ishmam zabir
- 107
0
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0 answers
Expected value of hawkes process
I’m studying hawkes processes and I find the formulation of the expected value of them in integration.
Actually I’m here to ask is there any closed form for expected value and other measures for multi-variate hawkes processes?
0
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Simulating a homogeneous Poisson process with finite number of points on $\mathbb{R}^2$
I have to simulate a homogeneous Poisson Point Process on $\mathbb{R}^2$ with fixed number of points. Any hints as to how to do it would be helpful. I know that for a bounded region W we first generate a random variable M with a Poisson distribution…
user254545
- 83