Abstract
We consider robustness for estimation of parametric inhomogeneous Poisson point processes. We propose an influence functional to measure the effect of contamination on estimates. We also propose an M-estimator as an alternative to maximum likelihood estimator, show its consistency and asymptotic normality.
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Assunção, R., Guttorp, P. Robustness for Inhomogeneous Poisson Point Processes. Annals of the Institute of Statistical Mathematics 51, 657–678 (1999). https://doi.org/10.1023/A:1004079013014
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DOI: https://doi.org/10.1023/A:1004079013014