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EnglishWe consider the problem of detection of features in the presence of clutter for spatio-temporal point patterns. In previous studies, related to the spatial context, Kth nearest-neighbor distances to classify points between clutter and features. In particular, a mixture of distributions whose parameters were estimated using an expectation-maximization algorithm. This paper extends this methodology to the spatio-temporal context by considering the properties of the spatio-temporal Kth nearest-neighbor distances. For this purpose, we make use of a couple of spatio-temporal distances, which are based on the Euclidean and the maximum norms. We show close forms for the probability distributions of such Kth nearest-neighbor distances and present an intensive simulation study together with an application to earthquakes.
| Data di pubblicazione: | 2020 |
| Titolo: | Spatio-temporal classification in point patterns under the presence of clutter |
| Autori: | ADELFIO, Giada (Corresponding) |
| Citazione: | Siino, M., Rodríguez‐cortés, F., Mateu, J., & Adelfio, G. (2020). Spatio-temporal classification in point patterns under the presence of clutter. ENVIRONMETRICS, 31(2). |
| Rivista: | |
| Digital Object Identifier (DOI): | 10.1002/env.2599 |
| Abstract: | We consider the problem of detection of features in the presence of clutter for spatio-temporal point patterns. In previous studies, related to the spatial context, Kth nearest-neighbor distances to classify points between clutter and features. In particular, a mixture of distributions whose parameters were estimated using an expectation-maximization algorithm. This paper extends this methodology to the spatio-temporal context by considering the properties of the spatio-temporal Kth nearest-neighbor distances. For this purpose, we make use of a couple of spatio-temporal distances, which are based on the Euclidean and the maximum norms. We show close forms for the probability distributions of such Kth nearest-neighbor distances and present an intensive simulation study together with an application to earthquakes. |
| Settore Scientifico Disciplinare: | Settore SECS-S/01 - Statistica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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|---|---|---|---|---|
| Siino_et_al-2019-Environmetrics.pdf | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/367404
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