14:00 – 15:00 – Jake Grainger (EPFL – Swiss Federal Institute of Technology in Lausanne)
Title: Spectral estimation for spatial point processes and random fields
Abstract: Spatial data can come in a variety of different forms, but two of the most common generating models for such observations are random fields and point processes. Often these are observed jointly, for example, we might record the pH level of the soil as well as the location of all oak trees within a certain region. Understanding the dependence structure between and within such processes is often of key scientific interest. However, such dependence can be hard to describe, especially when the processes are different in nature. Whilst it is known that spectral analysis can unify these two different data forms, specific methodology for the related estimation is yet to be developed. In this talk, we will discuss how multitaper estimation can be extended to this setting, enabling us to estimate coherence, a measure of cross dependence between processes. In particular, we discuss how to deal with different kinds of sampling mechanism, handle the effect of non-zero mean, and extend estimation to observations on non-rectangular sampling domains.
Refreshments available between 15:00 – 15:30, Huxley Common Room (HXLY 549)