no. 4
Numéro spécial : Special Issue on Change-Point Detection
Joint segmentation of multiple GPS coordinate series
[Segmentation multiple de séries de coordonnées GPS]
Journal de la société française de statistique, Tome 156 (2015) no. 4, pp. 163-179.

Pour la première fois, une procédure de segmentation multiple de séries de coordonnées est proposée pour des stations GPS géographiquement proches. Elle permet d’estimer simultanément des vitesses de déplacements et des signaux saisonniers spécifiques à chaque série tout en déterminant un signal de déplacement commun à toutes les stations. Une extension du modèle proposé par Picard et al. (2011) et Bertin et al. (2014) est considérée afin de prendre en compte les différentes caractéristiques liées aux données GPS ainsi que la procédure d’estimation, procédure itérative. Les résultats obtenus sur quatre ensembles de séries réelles GPS sont très pertinents d’autant plus que la méthode permet de ne pas segmenter le signal physique en identifiant des ruptures liées au mouvement réel du sol.

For the first time, a joint general segmentation procedure of multiple GPS coordinate series is proposed for nearby stations. It allows simultaneously estimating station-specific trends, seasonal signals and a common ground motion signal between series from adjacent stations. An extension of the model and the estimation procedure, which is an iterative procedure, proposed following Picard et al. (2011) and Bertin et al. (2014) is considered in order to take into account for the specificities of the GPS data. The tested approach has been shown to be efficient in providing meaningful offsets and is found to be a relevant method for avoiding segmenting the true physical signal.

Keywords: Segmentation, Homogenization, GPS, time series
Mot clés : Segmentation, Homogénisation, GPS, Séries temporelles 
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     title = {Joint segmentation of multiple {GPS} coordinate series},
     journal = {Journal de la soci\'et\'e fran\c{c}aise de statistique},
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Gazeaux, Julien; Lebarbier, Emilie; Collilieux, Xavier; Métivier, Laurent. Joint segmentation of multiple GPS coordinate series. Journal de la société française de statistique, Tome 156 (2015) no. 4, pp. 163-179. http://www.numdam.org/item/JSFS_2015__156_4_163_0/

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