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The naive Bayes classifier for functional data

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  • Zhang, Yi-Chen
  • Sakhanenko, Lyudmila

Abstract

In this article, we extended the approach of Dai et al. (2017) to several populations case and compared various other approaches on simulated and real data. The results show that the naive Bayes classifier for functional data is applicable to multi-category classification problems and has preferable finite-sample performance over competitors.

Suggested Citation

  • Zhang, Yi-Chen & Sakhanenko, Lyudmila, 2019. "The naive Bayes classifier for functional data," Statistics & Probability Letters, Elsevier, vol. 152(C), pages 137-146.
    • Handle: RePEc:eee:stapro:v:152:y:2019:i:c:p:137-146
    DOI: 10.1016/j.spl.2019.04.017
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    References listed on IDEAS

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    1. Jeng‐Min Chiou & Pai‐Ling Li, 2007. "Functional clustering and identifying substructures of longitudinal data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(4), pages 679-699, September.
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    3. Xiongtao Dai & Hans-Georg Müller & Fang Yao, 2017. "Optimal Bayes classifiers for functional data and density ratios," Biometrika, Biometrika Trust, vol. 104(3), pages 545-560.
    4. Bongiorno, Enea G. & Goia, Aldo, 2016. "Classification methods for Hilbert data based on surrogate density," Computational Statistics & Data Analysis, Elsevier, vol. 99(C), pages 204-222.
    5. B Baesens & T Van Gestel & S Viaene & M Stepanova & J Suykens & J Vanthienen, 2003. "Benchmarking state-of-the-art classification algorithms for credit scoring," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 627-635, June.
    6. Yao, Fang & Muller, Hans-Georg & Wang, Jane-Ling, 2005. "Functional Data Analysis for Sparse Longitudinal Data," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 577-590, June.
    7. Jacques, Julien & Preda, Cristian, 2014. "Model-based clustering for multivariate functional data," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 92-106.
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    Cited by:

    1. Chakraborty, Nilanjan & Sakhanenko, Lyudmila, 2023. "Novel multiplier bootstrap tests for high-dimensional data with applications to MANOVA," Computational Statistics & Data Analysis, Elsevier, vol. 178(C).

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