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Classification problems based on regression models for multi-dimensional functional data

Author

Listed:
  • Mirosław Krzyśko
  • Tomasz Górecki
  • Waldemar Wołyński

Abstract

Data in the form of a continuous vector function on a given interval are referred to as multivariate functional data. These data are treated as realizations of multivariate random processes. We use multivariate functional regression techniques for the classification of multivariate functional data. The approaches discussed are illustrated with an application to two real data sets.

Suggested Citation

  • Mirosław Krzyśko & Tomasz Górecki & Waldemar Wołyński, 2015. "Classification problems based on regression models for multi-dimensional functional data," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(1), pages 97-110, May.
    • Handle: RePEc:csb:stintr:v:16:y:2015:i:1:p:97-110
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    References listed on IDEAS

    as
    1. Ferraty, Frédéric & Vieu, Philippe, 2009. "Additive prediction and boosting for functional data," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1400-1413, February.
    2. Jacques, Julien & Preda, Cristian, 2014. "Model-based clustering for multivariate functional data," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 92-106.
    3. Gareth M. James, 2002. "Generalized linear models with functional predictors," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 411-432, August.
    4. Ferraty, F. & Vieu, P., 2003. "Curves discrimination: a nonparametric functional approach," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 161-173, October.
    5. Reiss, Philip T. & Ogden, R. Todd, 2007. "Functional Principal Component Regression and Functional Partial Least Squares," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 984-996, September.
    Full references (including those not matched with items on IDEAS)

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