Convergence in distribution for subset counts between random sets.
Stark, Dudley (2004)
The Electronic Journal of Combinatorics [electronic only]
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Stark, Dudley (2004)
The Electronic Journal of Combinatorics [electronic only]
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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...
C. Ryll-Nardzewski (1954)
Studia Mathematica
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E. Omey (1990)
Publications de l'Institut Mathématique
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