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Journal articles

A Wilcoxon-Mann-Whitney spatial scan statistic for functional data

Abstract : A nonparametric scan method for functional data indexed in space is introduced. The associated scan statistic 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. Whatever the clustering scenario, this scan test seems to be efficient to detect and locate the cluster. This method is applied to a data set for extracting features in Spanish province population growth. A significant spatial cluster of low demographic evolution rates is found, exhibiting a specific phenomenon in the North-West of Spain.
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Contributor : Zaineb Smida Connect in order to contact the contributor
Submitted on : Tuesday, November 2, 2021 - 5:07:58 PM
Last modification on : Tuesday, May 17, 2022 - 2:32:04 PM



Zaineb Smida, Lionel Cucala, Ali Gannoun, Ghislain Durif. A Wilcoxon-Mann-Whitney spatial scan statistic for functional data. Computational Statistics and Data Analysis, Elsevier, In press, 167, pp.107378. ⟨10.1016/j.csda.2021.107378⟩. ⟨hal-03412009⟩



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