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Article

Kernel based method for the k-sample problem with functional data

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Pages 5826-5849 | Received 16 Sep 2019, Accepted 04 Nov 2020, Published online: 16 Dec 2020

References

  • Aghoukeng Jiofack, J. G., and G. M. Nkiet. 2009. Testing for equality of means of a Hilbert space valued random variable. Comptes Rendus Mathematique 347 (23–24):1429–33. doi:10.1016/j.crma.2009.10.010.
  • Benko, M., W. Härdle, and A. Kneip. 2009. Common functional principal components. The Annals of Statistics 37 (1):1–34. doi:10.1214/07-AOS516.
  • Berlinet, A., and C. Thomas-Agnan. 2004. Reproducing kernel Hilbert spaces in probability and statistics. New York: Springer.
  • Boente, G., D. Rodriguez, and M. Sued. 2018. Testing equality between several populations covariance operators. Annals of the Institute of Statistical Mathematics 70 (4):919–50. doi:10.1007/s10463-017-0613-1.
  • Cuesta-Albertos, J. A., and M. Febrero-Bande. 2010. Multiway ANOVA for functional data. Test 19 (3):537–57. doi:10.1007/s11749-010-0185-3.
  • Cuevas, A. 2014. A partial overview of statistics with functional data. Journal of Statistical Planning and Inference 147:1–23. doi:10.1016/j.jspi.2013.04.002.
  • Cuevas, A., M. Febrero, and R. Fraiman. 2004. An anova test for functional data. Computational Statistics & Data Analysis 47 (1):111–22. doi:10.1016/j.csda.2003.10.021.
  • Ferraty, F., and P. Vieu. 2006. Nonparametric functional data analysis: Theory and practice. New York: Springer.
  • Fremdt, S., L. Horváth, P. Kokoszka, and J. G. Steinebach. 2014. Functional data analysis with increasing number of projections. Journal of Multivariate Analysis 124:313–32. doi:10.1016/j.jmva.2013.11.009.
  • Fremdt, S., J. G. Steinebach, L. Horváth, and P. Kokoszka. 2013. Testing the equality of covariance operators in functional samples. Scandinavian Journal of Statistics 40 (1):138–52. doi:10.1111/j.1467-9469.2012.00796.x.
  • Hall, P., and C. Heyde. 1980. Martingale limit theory and its application. London: Academic Press.
  • Harchaoui, Z., F. Bach, O. Cappé, and E. Moulines. 2013. Kernel-based methods for hypothesis testing: A unified View. IEEE Signal Processing Magazine 30 (4):87–97. doi:10.1109/MSP.2013.2253631.
  • Harchaoui, Z., F. Bach, and E. Moulines. 2007. Testing for homogeneity with kernel Fisher discriminant analysis. Advances in Neural Information Processing Systems 21. ArXiv: 0804.10226v1
  • Horváth, L., and P. Kokoszka. 2012. Inference for functional data with applications. New York: Springer-Verlag.
  • Horváth, L., P. Kokoszka, and R. Reed. 2013. Estimation of the mean of functional time series and a two-sample problem. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 75 (1):103–22. doi:10.1111/j.1467-9868.2012.01032.x.
  • Kraus, D., and V. M. Panaretos. 2012. Dispersion operators and resistant second-order functional data analysis. Biometrika 99 (4):813–32. doi:10.1093/biomet/ass037.
  • Panaretos, V. M., D. Kraus, and J. H. Maddocks. 2010. Second-order comparison of Gaussian random functions and the geometry of DNA minicircles. Journal of the American Statistical Association 105 (490):670–82. doi:10.1198/jasa.2010.tm09239.
  • Ramsay, J. O., and B. W. Silverman. 2005. Functional data analysis. New York: Springer.
  • Shawe-Taylor, J., and N. Cristianini. 2004. Kernel methods for pattern analysis. Cambridge University Press.
  • Zhang, C., H. Peng, and J.-T. Zhang. 2010. Two samples tests for functional data. Communications in Statistics - Theory and Methods 39 (4):559–78. doi:10.1080/03610920902755839.

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