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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2019

23-05-2018 | Original Research

A quadrat neighborhood estimator for intensity function of point processes

Authors: Azam Dehghani, Mohammad Q. Vahidi-Asl

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2019

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Abstract

In nonparametric estimation of the intensity function of a point process, assigning the local event weight is particularly important. This paper describes a sequential quadrat partitioning of the study region to define a quadrat neighborhood of a point. Based on this idea, a quadrat neighborhood estimator of intensity function is introduced. We extend this method to estimate the product density. Meanwhile, we show that under infill asymptotics our proposed estimator is asymptotically unbiased for inhomogeneous Poisson point process. Simulations are also used to investigate the performance of our proposed estimator.
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Metadata
Title
A quadrat neighborhood estimator for intensity function of point processes
Authors
Azam Dehghani
Mohammad Q. Vahidi-Asl
Publication date
23-05-2018
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2019
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-018-1190-z

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