A functional analysis of NOx levels: location and scale estimation and outlier detection
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This paper analyzes the NOx levels measured by a control station near a power plant by using techniques for functional data. First, we test for differences between the levels on working and non working days. Second, we obtain several location estimators and confidence sets of the center of the functional distribution. Third, we provide scale estimators and confidence sets of the dispersion of the functional distribution. Finally, a distance based procedure provides a criterion to determinate the presence of outlying observations, which allows to detect relevant NOx levels.
KeywordsFunctional data analysis Functional mode Functional trimmed means Functional trimmed standard deviation NOx levels Outliers
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- Dabo-Niang S, Ferraty F, Vieu P (2004) Nonparametric unsupervised classification of satellite wave altimeter forms. In: Antoch J (ed) Proceedings in computational statistics. Physica-Verlag, Heidelberg, pp 879–886Google Scholar
- Ferraty F, Vieu P (2006) Nonparametric functional data analysis: theory and practice. Springer Series in Statistics. Springer, New YorkGoogle Scholar
- Ramsay JO, Silverman BW (2004) Applied functional data analysis. Springer, New YorkGoogle Scholar
- Ramsay JO, Silverman BW (2005) Functional data analysis, 2nd edn. Springer, New YorkGoogle Scholar
- Tukey JW (1975) Mathematics and the picturing of data. In: James RD (ed) Proceedings of the International Congress of Mathematicians, vol 2, pp 523–531, VancouverGoogle Scholar