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A Hotelling spatial scan statistic for functional data: application to economic and climate data

Author

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  • Smida, Zaineb
  • Laurent, Thibault
  • Cucala, Lionel

Abstract

A scan method for functional data indexed in space has been developed. The scan statistic is derived from the Hotelling test statistic for functional data, extending the univariate and multivariate Gaussian spatial scan statistics. This method consistently outperforms existing techniques in detecting and locating spatial clusters, as demonstrated through simulations. It has been applied to two types of real data: economic data in order to identify spatial clusters of abnormal unemployment rates in Spain and climatic data in order to detect unusual climate change patterns in Great Britain, Nigeria, Pakistan, and Venezuela.

Suggested Citation

  • Smida, Zaineb & Laurent, Thibault & Cucala, Lionel, 2024. "A Hotelling spatial scan statistic for functional data: application to economic and climate data," TSE Working Papers 24-1583, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:129819
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    References listed on IDEAS

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    More about this item

    Keywords

    Cluster detection; Functional data; Hotelling T2 test; Spatial Scan statistic.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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