Problem of the Week
Hilton Memorial Lecture
Data Science Seminar
Hosted by Department of Mathematical Sciences
I will introduce a single-index model for the intensity of an inhomogeneous spatial point process, relating the intensity function to an unknown function ρ of a linear combination of a p-dimensional spatial covariate process. Such a model extends and generalizes the commonly used log-linear model. I will describe an estimating procedure for ρ and for the coefficient parameters β. Consistency and asymptotic normality of estimates of β can be achieved under some regularity assumptions. I will show results from a simulation study showing the effectiveness of the procedure and from fitting the model to a dataset of fast food restaurant locations in New York City.