Single-index model for inhomogeneous spatial point processes

Document Type

Article

Publication Date

4-1-2017

Abstract

We introduce a single index model for the intensity of an inhomogeneous spatial point process, relating the intensity function to an unknown function p of a linear combination of measurements of a p-dimensional spatial covariate process. Such a model extends and generalizes a commonly used model where p is known. We derive an estimating procedure for p and the coefficient parameters β and show consistency and asymptotic normality of estimates of β under some regularity assumptions. We present results of some simulation studies showing the effectiveness of the procedure. Finally, we apply the procedure to a dataset of fast food restaurant locations in New York City.

Identifier

85016231303 (Scopus)

Publication Title

Statistica Sinica

External Full Text Location

https://doi.org/10.5705/ss.202015.0173

ISSN

10170405

First Page

555

Last Page

574

Issue

2

Volume

27

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