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Two-sample tests for multivariate functional data

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Functional Statistics and Related Fields

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

We consider two–sample tests for functional data with observations which may be uni– or multi–dimensional. The new methods are formulated as L2–type criteria based on empirical characteristic functions and are convenient from the computational point of view.

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References

  1. Benko, M., Härdle, W., Kneip, A.: Common functional principal components. Ann. Stat. 37, 1–34 (2009)

    Google Scholar 

  2. Berrendero, J.R., Justel, A., Svarc, M.: Principal components for multivariate functional data. Comput. Stat. Data An. 55, 2619–2634 (2011)

    Google Scholar 

  3. Chiou, J.M.,Müller, H.G.: Linear manifold modeling of multivariate functional data. J. Roy. Stat. Soc. B. 76, 605–626 (2014)

    Google Scholar 

  4. Hall, P., Van Keilegom, I.: Two–sample tests in functional data analysis starting from discrete data. Stat. Sinica. 17, 1511–1531 (2007)

    Google Scholar 

  5. Horváth, L., Kokoszka, P.: Inference for Functional Data with Applications. Springer Series in Statistics, Springer, New York (2012)

    Google Scholar 

  6. Horváth, L., Kokoszka, P., Reeder, R.: Estimation of the mean of functional time series and a two sample problem. J. Roy. Stat. Soc. B. 75, 103–122 (2013)

    Google Scholar 

  7. Jacques, J., Preda, C.: Model–based clustering for multivariate functional data. Comput. Stat. Data An. 71, 92–106 (2014)

    Google Scholar 

  8. Kraus, D., Panaretos, V.M.: Dispersion operators and resistant second–order functional data analysis. Biometrika. 99, 813–832 (2012)

    Google Scholar 

  9. Hušková, M., Meintanis, S.G.: Tests for the multivariate k-sample problem based on the empirical characteristic function. J. NonParametr. Statist. 20, 263–277 (2008)

    Google Scholar 

  10. Meintanis, S.G.: Permutation tests for homogeneity based on the empirical characteristic function. J. Nonparametr. Statist. 17, 583–592 (2005)

    Google Scholar 

  11. Panaretos, V.M., Kraus, D., Maddocks, J.H.: Second–order comparison of Gaussian random functions and the geometry of DNA minicircles. J. Am. Stat. Assoc. 105, 670–682 (2010)

    Google Scholar 

  12. Pomann, G.M., Staicu, A.M., Ghosh, S.: Two–sample hypothesis testing for functional data with application to a diffusion tensor imaging study of multiple sclerosis. J. Roy. Stat. Soc. C-App. 65, 395–414 (2016)

    Google Scholar 

  13. Székely G., Rizzo, M.: Hierarchical clustering via joint between–within distances: Extending Ward’s minimum variance method. J. Classif. 22, 151–183 (2005)

    Google Scholar 

  14. Székely G., Rizzo, M.: Energy statistics: A class of statistics based on distances. J. Stat. Plan. Infer. 143, 249–272 (2013)

    Google Scholar 

  15. Tenreiro, C.: On the choice of the smoothing parameter for the BHEP goodnessof-fit test. Computat. Statist. Dat. Anal. 53, 1038–1053 (2009)

    Google Scholar 

  16. Zhang, C., Peng, H., Zhang, J.T.: Two–sample tests for functional data. Commun. Stat.–Theor. M. 39, 559–578 (2010)

    Google Scholar 

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Correspondence to Simos G. Meintanis .

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Jiang, Q., Meintanis, S.G., Zhu, L. (2017). Two-sample tests for multivariate functional data. In: Aneiros, G., G. Bongiorno, E., Cao, R., Vieu, P. (eds) Functional Statistics and Related Fields. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-55846-2_19

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