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Detecting atypical data in air pollutionstudies by using shorth intervals for regression

Published online by Cambridge University Press:  15 November 2005

Cécile Durot  and
Karelle Thiébot
Cécile Durot
Affiliation:
Université Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France; cecile.durot@math.u-psud.fr
Karelle Thiébot
Affiliation:
Université Paris Sud, Bâtiment 425, 91405 Orsay Cedex, France; cecile.durot@math.u-psud.fr ; Air Pays de la Loire, 2 rue A. Kastler, BP 30723, 44307 Nantes Cedex 3, France.
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Abstract

To validate pollution data, subject-matter experts in Airpl (an organization that maintains a network of air pollution monitoring stations in western France) daily perform visual examinations of the data and check their consistency. In this paper, we describe these visual examinations and propose a formalization for this problem. The examinations consist in comparisons of so-called shorth intervals so we build a statistical test that compares such intervals in a nonparametric regression model. This allows to detect atypical data. A practical application of the test is given.

Keywords

Air pollutionvalidationregressionbootstrapshorth.
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 9 , February 2005 , pp. 230 - 240
Copyright
© EDP Sciences, SMAI, 2005

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References

Bel, L., Bellanger, L., Bonneau, V., Ciuperca, G., Dacunha-Castelle, D., Deniau, C., Ghattas, B., Misiti, Y. and Oppenheim, G., Éléments de comparaison de prévisions statistiques des pics d'ozone. Rev. Statist. App. 3 (1999) 7–25.
C. Durot and K. Thiébot. Bootstrapping the shorth for regression. Submitted (2003).
Hall, P., Kay, J.W. and Titterington, D.M., Asymptotically optimal difference-based estimation of variance in nonparametric regression. Biometrika 77 (1990) 521–529. CrossRef
K. Thiébot, Synthèse de l'enquête sur la procédure de validation de données dans les résaux de surveillance de pollution athmosphérique. Technical report, Air Pays de la Loire (1998).