Convergence in distribution for subset counts between random sets.
Stark, Dudley (2004)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Poisson perturbations”
Convergence in distribution for subset counts between random sets.
Invariance of Poisson measures under random transformations
Nicolas Privault (2012)
Annales de l'I.H.P. Probabilités et statistiques
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We prove that Poisson measures are invariant under (random) intensity preserving transformations whose finite difference gradient satisfies a cyclic vanishing condition. The proof relies on moment identities of independent interest for adapted and anticipating Poisson stochastic integrals, and is inspired by the method of Üstünel and Zakai ( (1995) 409–429) on the Wiener space, although the corresponding algebra is more complex than in the Wiener case. The examples of...
Remarks on the Poisson stochastic process (III) (On a property of the homogeneous Poisson process)
C. Ryll-Nardzewski (1954)
Studia Mathematica
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