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Activity Number: 9 - When Location Is Random: Advances in Statistical Modeling and Inference for Spatial Point Processes
Type: Invited
Date/Time: Sunday, July 30, 2017 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract #322194 View Presentation
Title: Spatial Point Processes on the Sphere
Author(s): Ege Rubak*
Companies: Aalborg University
Keywords: Determinantal point process ; Poisson point process ; Ripley's K-function ; Spherical geometry
Abstract:

Point patterns on a global scale require us to adapt both statistical tools, models and software to the non-Euclidean setting on the sphere. We will describe both functional summary statistics such as the analogues of Ripley's K-function, the F-function, the G-function, and the J-function as well as various statistical models on the sphere. Such models include both the reference class of (inhomogeneous) Poisson processes and the interesting determinantal point processes. Importantly, an efficient software implementation for working with point data on the sphere is a central part of this work.


Authors who are presenting talks have a * after their name.

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