Abstract
A two-phase clustering method for the detection of geostatistical functional outliers is proposed. It first, clusters data by a modified version of a Dynamic Clustering algorithm for geostatical functional data and then detects groups of outliers according to a cut-off value defined by a measure of spatial deviation in a minimum spanning tree. The performance of the proposed procedure is analyzed by several simulation studies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Delicado, P., Giraldo, R., Comas, C., & Mateu, J. (2010). Statistics for spatial functional data: some recent contributions. Environmetric, 21, 224–239.
Diday, E. (1971). La methode des Nuees dynamiques. Revue de Statistique Appliquee, 19(2), 19–34.
Jiang, M. F., Tseng, S. S., & Su, C. M. (2001). Two-phase clustering process for outliers detection. Pattern Recognition Letters, 22(6), 691–700.
Ramsay, J. E., & Silverman, B. W. (2005). Functional data analysis (2nd edn.). New York: Springer.
Rand, W. M. (1971). Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association, 66(336), 846–850.
Romano, E., Balzanella, A., & Verde, R. (2010). A new regionalization method for spatially dependent functional data based on local variogram models: an application on environmental data. In Atti delle XLV Riunione Scientifica della Societá Italiana di Statistica Universitá degli Studi di Padova. ISBN/ISSN:978 88 6129 566 7. Padova: CLEUP.
Romano, E., & Mateu, J. (2012). Outlier detection for geostatistical functional data: an application to sensor data. In A. Giusti, G. Ritter, M. Vichi (Eds.) Classification and data mining, (pp. 131–138). Springer. ISBN: 978-3-642-28893-7.
Sun, Y., & Genton, M. G. (2012). Adjusted functional boxplots for spatio-temporal data visualization and outlier detection. Environmetrics, 23, 54–64.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Romano, E., Balzanella, A. (2013). A Two-Phase Clustering Based Strategy for Outliers Detection in Georeferenced Curves. In: Giudici, P., Ingrassia, S., Vichi, M. (eds) Statistical Models for Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00032-9_34
Download citation
DOI: https://doi.org/10.1007/978-3-319-00032-9_34
Published:
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00031-2
Online ISBN: 978-3-319-00032-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)