A Mecke-type characterization of the Dirichlet-Ferguson measure

Abstract

We prove a characterization of the Dirichlet-Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this characterization in analogy with the Mecke identity for Poisson point processes.

12 pages. To appear in Electron. Commun. Probab

References in corpus (3)

• The Dirichlet-Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold
• Characteristic Functionals of Dirichlet Measures
• Moments and Cumulants in Infinite Dimensions with Applications to Poisson, Gamma and Dirichlet-Ferguson Random Measures

Cited by in corpus (2)

• The Dirichlet-Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold
• A Rademacher-type Theorem on $L^2$-Wasserstein Spaces over Closed Riemannian Manifolds