Poisson sphere counting processes with random radii

• Main Author: Privault, Nicolas
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2017
• Subjects: Sphere counting; Random balls
• Online Access: https://hdl.handle.net/10356/83340; http://hdl.handle.net/10220/42543
• Institution: Nanyang Technological University

We consider a random sphere covering model made of random balls with interacting random radii of the product form R(r,ω) = rG(ω), based on a Poisson random measure ω(dy,dr) on Rd × R+. We provide sufficient conditions under which the corresponding random ball counting processes are well-defined, and...