Abstract
We propose two kind of permutation tests for the two sample problem for functional data. One is based on nearest neighbours and the other based on functional depths.
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Estrada, A.M.: Nociones de Profundidad en Análisis de Datos Funcionales, MSc Thesis, Universidad de Los Andes, Colombia (2014)
Fraiman, R., Muniz, G: Trimmed means for functional data. TEST 10(2): 419–440 (2001)
Good, P.: Permutation, Parametric and Bootstrap Tests of Hypothesis, Springer (2005)
Hedges, L. V., Olkin, I.: Statistical Methods for Meta-Analysis, Academic Press (1985)
Liu, R. Y., Parelius, J. M., Singh, K.: Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference. Ann. Statist. 27(3), 783–840 (1999)
López-Pintado, S., Romo, J.: Depth-based inference for functional data. Comput. Statist. Data Anal. 51, 4957–4968 (2007)
López-Pintado, S., Romo, J.: On the concept of depth for functional data. J. Amer. Statist. Assoc. 104, 718–734 (2009)
Peña, J.: Propuestas para el problema de dos muestras con datos funcionales., MSc Thesis, Universidad de Los Andes, Colombia (2012)
Quiroz, A. J.: Graph-Theoretical Methods. In Encyclopedia of Statistical Sciences, 2nd Edition, S. Kotz, C. B. Read, N. Balakrishnan and B. Vidakovic, editors. Vol 5, pp 2910–2916, Wiley and Sons, New York (2006)
Schilling, M. F. Multivariate two-sample tests based on nearest neighbours. J. Amer. Statist. Assoc. 81:395, 799–806 (1986)
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Cabaña, A., Estrada, A.M., Peña, J., Quiroz, A.J. (2017). Permutation tests in the two-sample problem for 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_11
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DOI: https://doi.org/10.1007/978-3-319-55846-2_11
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