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- Title
Doubly stochastic models for spatio‐temporal covariation of replicated point processes.
- Abstract
This article proposes log‐linear models for the latent intensity functions of replicated spatio‐temporal point processes. By simultaneously fitting correlated spatial and temporal Karhunen–Loève expansions, these models produce spatial and temporal components that are usually easy to interpret and capture the main directions of spatio‐temporal correlation. The asymptotic distribution of the estimators is derived, and their finite sample properties are studied by simulation. As an example of application, we analyze the spatio‐temporal patterns of usage of a bike station in the Divvy bike‐sharing system of the city of Chicago.
- Subjects
CHICAGO (Ill.); STOCHASTIC models; LOG-linear models; ASYMPTOTIC distribution; SPATIOTEMPORAL processes; POINT processes; POISSON processes
- Publication
Canadian Journal of Statistics, 2022, Vol 50, Issue 1, p287
- ISSN
0319-5724
- Publication type
Article
- DOI
10.1002/cjs.11638