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A nonparametric spatial scan statistic for functional data

Abstract : This paper introduces a nonparametric scan method for functional data indexed in space. The scan statistic that we introduce is derived from the Wilcoxon-Mann-Whitney test statistic defined for infinite dimensional data. It is completely nonparametric as it does not assume any distribution concerning the functional marks. This scan test seems to be powerful against any clustering alternative. We apply this method to a data set for extracting features in Spanish province population growth.
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Preprints, Working Papers, ...
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Submitted on : Wednesday, July 29, 2020 - 10:54:50 AM
Last modification on : Friday, August 5, 2022 - 10:51:46 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 9:14:47 AM


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  • HAL Id : hal-02908496, version 1


Zaineb Smida, Lionel Cucala, Ali Gannoun. A nonparametric spatial scan statistic for functional data. {date}. ⟨hal-02908496⟩



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