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Activity Number: 185 - SPEED: Environmental Statistics
Type: Contributed
Date/Time: Monday, July 31, 2017 : 11:35 AM to 12:20 PM
Sponsor: Section on Statistics and the Environment
Abstract #325253
Title: Single index model for inhomogeneous spatial point processes
Author(s): Ji Meng Loh* and Yixin Fang
Companies: and New Jersey Institute of Technology
Keywords: Single-index model ; spatial point processes
Abstract:

We introduce a single index model for the intensity of an inhomogeneous spatial point process, relating the intensity function to an unknown function ? of a linear combination of measurements of a p-dimensional spatial covariate process. Such a model extends and generalizes a commonly used model where ? is known. Under some regularity assumptions, consistency and asymptotic normality of estimates of ? can be shown. 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.


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

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