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Empirical Orthogonal Function and Functional Data Analysis Procedures to Impute Long Gaps in Environmental Data

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Topics in Theoretical and Applied Statistics

Part of the book series: Studies in Theoretical and Applied Statistics ((STASSPSS))

Abstract

Air pollution data sets are usually spatio-temporal multivariate data related to time series of different pollutants recorded by a monitoring network. To improve the estimate of functional data when missing values, and mainly long gaps, are present in the original data set, some procedures are here proposed considering jointly Functional Data Analysis and Empirical Orthogonal Function approaches. In order to compare and validate the proposed procedures, a simulation plan is carried out and some performance indicators are computed. The obtained results show that one of the proposed procedures works better than the others, providing a better reconstruction especially in presence of long gaps.

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Acknowledgements

We would like to thank the referee for his useful suggestions, that we tried to use to improve the paper.

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Correspondence to Antonella Plaia .

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Di Salvo, F., Plaia, A., Ruggieri, M., Agró, G. (2016). Empirical Orthogonal Function and Functional Data Analysis Procedures to Impute Long Gaps in Environmental Data. In: Alleva, G., Giommi, A. (eds) Topics in Theoretical and Applied Statistics. Studies in Theoretical and Applied Statistics(). Springer, Cham. https://doi.org/10.1007/978-3-319-27274-0_1

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