References analysis of the Wikipedia article "Functional data analysis" in the English version

arxiv.org

Hilgert, N; Mas, A; Verzelen, N. (2013). "Minimax adaptive tests for the functional linear model". Annals of Statistics. 41 (2): 838–869. arXiv:1206.1194. doi:10.1214/13-AOS1093. S2CID 13119710.

He, G; Müller, HG; Wang, JL; Yang, WJ. (2010). "Functional linear regression via canonical analysis". Journal of Multivariate Analysis. 16 (3): 705–729. arXiv:1102.5212. doi:10.3150/09-BEJ228. S2CID 17843044.

Horváth, L; Reeder, R. (2013). "A test of significance in functional quadratic regression". Bernoulli. 19 (5A): 2120–2151. arXiv:1105.0014. doi:10.3150/12-BEJ446. S2CID 88512527.

Müller HG; Stadmüller, U. (2005). "Generalized Functional Linear Models". The Annals of Statistics. 33 (2): 774–805. arXiv:math/0505638. doi:10.1214/009053604000001156.{{cite journal}}: CS1 maint: multiple names: authors list (link)

Dai, X; Müller, HG; Yao, F. (2017). "Optimal Bayes classifiers for functional data and density ratios". Biometrika. 104 (3): 545–560. arXiv:1605.03707.

Marron, JS; Ramsay, JO; Sangalli, LM; Srivastava, A (2015). "Functional data analysis of amplitude and phase variation". Statistical Science. 30 (4): 468–484. arXiv:1512.03216. doi:10.1214/15-STS524. S2CID 55849758.

Dubey, P; Müller, HG (2021). "Modeling Time-Varying Random Objects and Dynamic Networks". Journal of the American Statistical Association. 117 (540): 2252–2267. arXiv:2104.04628. doi:10.1080/01621459.2021.1917416. S2CID 233210300.

Happ, C; Greven, S (2018). "Multivariate Functional Principal Component Analysis for Data Observed on Different (Dimensional) Domains". Journal of the American Statistical Association. 113 (522): 649–659. arXiv:1509.02029. doi:10.1080/01621459.2016.1273115. S2CID 88521295.

Carroll, C; Müller, HG; Kneip, A (2021). "Cross-component registration for multivariate functional data, with application to growth curves". Biometrics. 77 (3): 839–851. arXiv:1811.01429. doi:10.1111/biom.13340. S2CID 220687157.

Dai, X; Müller, HG (2018). "Principal component analysis for functional data on Riemannian manifolds and spheres". The Annals of Statistics. 46 (6B): 3334–3361. arXiv:1705.06226. doi:10.1214/17-AOS1660. S2CID 13671221.

doi.org

Grenander, U. (1950). "Stochastic processes and statistical inference". Arkiv för Matematik. 1 (3): 195–277. Bibcode:1950ArM.....1..195G. doi:10.1007/BF02590638. S2CID 120451372.

Rice, JA; Silverman, BW. (1991). "Estimating the mean and covariance structure nonparametrically when the data are curves". Journal of the Royal Statistical Society. 53 (1): 233–243. doi:10.1111/j.2517-6161.1991.tb01821.x.

Müller, HG. (2016). "Peter Hall, functional data analysis and random objects". Annals of Statistics. 44 (5): 1867–1887. doi:10.1214/16-AOS1492.

Kleffe, J. (1973). "Principal components of random variables with values in a seperable hilbert space". Mathematische Operationsforschung und Statistik. 4 (5): 391–406. doi:10.1080/02331887308801137.

Dauxois, J; Pousse, A; Romain, Y. (1982). "Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference". Journal of Multivariate Analysis. 12 (1): 136–154. doi:10.1016/0047-259X(82)90088-4.

Hilgert, N; Mas, A; Verzelen, N. (2013). "Minimax adaptive tests for the functional linear model". Annals of Statistics. 41 (2): 838–869. arXiv:1206.1194. doi:10.1214/13-AOS1093. S2CID 13119710.

Kong, D; Xue, K; Yao, F; Zhang, HH. (2016). "Partially functional linear regression in high dimensions". Biometrika. 103 (1): 147–159. doi:10.1093/biomet/asv062.

Wang, JL; Chiou, JM; Müller, HG. (2016). "Functional data analysis". Annual Review of Statistics and Its Application. 3 (1): 257–295. Bibcode:2016AnRSA...3..257W. doi:10.1146/annurev-statistics-041715-033624. S2CID 13709250.

Ramsay, JO; Dalzell, CJ. (1991). "Some tools for functional data analysis". Journal of the Royal Statistical Society, Series B (Methodological). 53 (3): 539–561. doi:10.1111/j.2517-6161.1991.tb01844.x. S2CID 118960346.

Malfait, N; Ramsay, JO. (2003). "The historical functional linear model". The Canadian Journal of Statistics. 31 (2): 115–128. doi:10.2307/3316063. JSTOR 3316063. S2CID 55092204.

He, G; Müller, HG; Wang, JL. (2003). "Functional canonical analysis for square integrable stochastic processes". Journal of Multivariate Analysis. 85 (1): 54–77. doi:10.1016/S0047-259X(02)00056-8.

Yao, F; Müller, HG; Wang, JL. (2005). "Functional data analysis for sparse longitudinal data". Journal of the American Statistical Association. 100 (470): 577–590. doi:10.1198/016214504000001745. S2CID 1243975.

Fan, J; Zhang, W. (1999). "Statistical estimation in varying coefficient models". The Annals of Statistics. 27 (5): 1491–1518. doi:10.1214/aos/1017939139. S2CID 16758288.

Wu, CO; Yu, KF. (2002). "Nonparametric varying-coefficient models for the analysis of longitudinal data". International Statistical Review. 70 (3): 373–393. doi:10.1111/j.1751-5823.2002.tb00176.x. S2CID 122007787.

Huang, JZ; Wu, CO; Zhou, L. (2002). "Varying-coefficient models and basis function approximations for the analysis of repeated measurements". Biometrika. 89 (1): 111–128. doi:10.1093/biomet/89.1.111.

Şentürk, D; Müller, HG. (2010). "Functional varying coefficient models for longitudinal data". Journal of the American Statistical Association. 105 (491): 1256–1264. doi:10.1198/jasa.2010.tm09228. S2CID 14296231.

Eggermont, PPB; Eubank, RL; LaRiccia, VN. (2010). "Convergence rates for smoothing spline estimators in varying coefficient models". Journal of Statistical Planning and Inference. 140 (2): 369–381. doi:10.1016/j.jspi.2009.06.017.

Horváth, L; Reeder, R. (2013). "A test of significance in functional quadratic regression". Bernoulli. 19 (5A): 2120–2151. arXiv:1105.0014. doi:10.3150/12-BEJ446. S2CID 88512527.

Müller HG; Wu Y; Yao, F. (2013). "Continuously additive models for nonlinear functional regression". Biometrika. 100 (3): 607–622. doi:10.1093/biomet/ast004.{{cite journal}}: CS1 maint: multiple names: authors list (link)

Chiou, JM; Li, PL. (2007). "Functional clustering and identifying substructures of longitudinal data". Journal of the Royal Statistical Society, Series B (Statistical Methodology). 69 (4): 679–699. doi:10.1111/j.1467-9868.2007.00605.x. S2CID 120883171.

Banfield, JD; Raftery, AE. (1993). "Model-based Gaussian and non-Gaussian clustering". Biometrics. 49 (3): 803–821. doi:10.2307/2532201. JSTOR 2532201.

James, GM; Sugar, CA. (2003). "Clustering for sparsely sampled functional data". Journal of the American Statistical Association. 98 (462): 397–408. doi:10.1198/016214503000189. S2CID 9487422.

Jacques, J; Preda, C. (2013). "Funclust: A curves clustering method using functional random variables density approximation" (PDF). Neurocomputing. 112: 164–171. doi:10.1016/j.neucom.2012.11.042. S2CID 33591208.

Jacques, J; Preda, C. (2014). "Model-based clustering for multivariate functional data". Computational Statistics & Data Analysis. 71 (C): 92–106. doi:10.1016/j.csda.2012.12.004.

Coffey, N; Hinde, J; Holian, E. (2014). "Clustering longitudinal profiles using P-splines and mixed effects models applied to time-course gene expression data". Computational Statistics & Data Analysis. 71 (C): 14–29. doi:10.1016/j.csda.2013.04.001.

Heinzl, F; Tutz, G. (2014). "Clustering in linear-mixed models with a group fused lasso penalty". Biometrical Journal. 56 (1): 44–68. doi:10.1002/bimj.201200111. PMID 24249100. S2CID 10969266.

Angelini, C; Canditiis, DD; Pensky, M. (2012). "Clustering time-course microarray data using functional Bayesian infinite mixture model". Journal of Applied Statistics. 39 (1): 129–149. Bibcode:2012JApSt..39..129A. doi:10.1080/02664763.2011.578620. S2CID 8902492.

Rodríguez, A; Dunson, DB; Gelfand, AE. (2009). "Bayesian nonparametric functional data analysis through density estimation". Biometrika. 96 (1): 149–162. doi:10.1093/biomet/asn054. PMC 2650433. PMID 19262739.

Petrone, S; Guindani, M; Gelfand, AE. (2009). "Hybrid Dirichlet mixture models for functional data". Journal of the Royal Statistical Society. 71 (4): 755–782. doi:10.1111/j.1467-9868.2009.00708.x. S2CID 18638091.

Heinzl, F; Tutz, G. (2013). "Clustering in linear mixed models with approximate Dirichlet process mixtures using EM algorithm" (PDF). Statistical Modelling. 13 (1): 41–67. doi:10.1177/1471082X12471372. S2CID 11448616.

Leng, X; Müller, HG. (2006). "Classification using functional data analysis for temporal gene expression data" (PDF). Bioinformatics. 22 (1): 68–76. doi:10.1093/bioinformatics/bti742. PMID 16257986.

James, GM; Hastie, TJ. (2001). "Functional linear discriminant analysis for irregularly sampled curves". Journal of the Royal Statistical Society. 63 (3): 533–550. doi:10.1111/1467-9868.00297. S2CID 16050693.

Hall, P; Poskitt, DS; Presnell, B. (2001). "A Functional Data—Analytic Approach to Signal Discrimination". Technometrics. 43 (1): 1–9. doi:10.1198/00401700152404273. S2CID 21662019.

Ferraty, F; Vieu, P. (2003). "Curves discrimination: a nonparametric functional approach". Computational Statistics & Data Analysis. 44 (1–2): 161–173. doi:10.1016/S0167-9473(03)00032-X.

Chang, C; Chen, Y; Ogden, RT. (2014). "Functional data classification: a wavelet approach". Computational Statistics. 29 (6): 1497–1513. doi:10.1007/s00180-014-0503-4. PMC 11192549. S2CID 120454400.

Zhu, H; Brown, PJ; Morris, JS. (2012). "Robust Classification of Functional and Quantitative Image Data Using Functional Mixed Models". Biometrics. 68 (4): 1260–1268. doi:10.1111/j.1541-0420.2012.01765.x. PMC 3443537. PMID 22670567.

Delaigle, A; Hall, P (2012). "Achieving near perfect classification for functional data". Journal of the Royal Statistical Society. Series B (Statistical Methodology). 74 (2): 267–286. doi:10.1111/j.1467-9868.2011.01003.x. ISSN 1369-7412. S2CID 124261587.

Wang, JL; Chiou, JM; Müller, HG. (2016). "Functional Data Analysis". Annual Review of Statistics and Its Application. 3 (1): 257–295. Bibcode:2016AnRSA...3..257W. doi:10.1146/annurev-statistics-041715-033624. S2CID 13709250.

Ramsay, JO; Li, X. (1998). "Curve registration". Journal of the Royal Statistical Society, Series B. 60 (2): 351–363. doi:10.1111/1467-9868.00129. S2CID 17175587.

Sakoe, H; Chiba, S. (1978). "Dynamic programming algorithm optimization for spoken word recognition". IEEE Transactions on Acoustics, Speech, and Signal Processing. 26: 43–49. doi:10.1109/TASSP.1978.1163055. S2CID 17900407.

Kneip, A; Gasser, T (1992). "Statistical tools to analyze data representing a sample of curves". Annals of Statistics. 20 (3): 1266–1305. doi:10.1214/aos/1176348769.

Tang, R; Müller, HG. (2008). "Pairwise curve synchronization for functional data". Biometrika. 95 (4): 875–889. doi:10.1093/biomet/asn047.

Chen, K; Delicado, P; Müller, HG (2017). "Modelling function-valued stochastic processes, with applications to fertility dynamics". Journal of the Royal Statistical Society. Series B (Statistical Methodology). 79 (1): 177–196. doi:10.1111/rssb.12160. hdl:2117/126653. S2CID 13719492.

handle.net

hdl.handle.net

jstor.org

Malfait, N; Ramsay, JO. (2003). "The historical functional linear model". The Canadian Journal of Statistics. 31 (2): 115–128. doi:10.2307/3316063. JSTOR 3316063. S2CID 55092204.

Banfield, JD; Raftery, AE. (1993). "Model-based Gaussian and non-Gaussian clustering". Biometrics. 49 (3): 803–821. doi:10.2307/2532201. JSTOR 2532201.

semanticscholar.org

api.semanticscholar.org

Grenander, U. (1950). "Stochastic processes and statistical inference". Arkiv för Matematik. 1 (3): 195–277. Bibcode:1950ArM.....1..195G. doi:10.1007/BF02590638. S2CID 120451372.

Hilgert, N; Mas, A; Verzelen, N. (2013). "Minimax adaptive tests for the functional linear model". Annals of Statistics. 41 (2): 838–869. arXiv:1206.1194. doi:10.1214/13-AOS1093. S2CID 13119710.

Malfait, N; Ramsay, JO. (2003). "The historical functional linear model". The Canadian Journal of Statistics. 31 (2): 115–128. doi:10.2307/3316063. JSTOR 3316063. S2CID 55092204.

Fan, J; Zhang, W. (1999). "Statistical estimation in varying coefficient models". The Annals of Statistics. 27 (5): 1491–1518. doi:10.1214/aos/1017939139. S2CID 16758288.

Horváth, L; Reeder, R. (2013). "A test of significance in functional quadratic regression". Bernoulli. 19 (5A): 2120–2151. arXiv:1105.0014. doi:10.3150/12-BEJ446. S2CID 88512527.

James, GM; Sugar, CA. (2003). "Clustering for sparsely sampled functional data". Journal of the American Statistical Association. 98 (462): 397–408. doi:10.1198/016214503000189. S2CID 9487422.

Heinzl, F; Tutz, G. (2014). "Clustering in linear-mixed models with a group fused lasso penalty". Biometrical Journal. 56 (1): 44–68. doi:10.1002/bimj.201200111. PMID 24249100. S2CID 10969266.

Hall, P; Poskitt, DS; Presnell, B. (2001). "A Functional Data—Analytic Approach to Signal Discrimination". Technometrics. 43 (1): 1–9. doi:10.1198/00401700152404273. S2CID 21662019.

Ramsay, JO; Li, X. (1998). "Curve registration". Journal of the Royal Statistical Society, Series B. 60 (2): 351–363. doi:10.1111/1467-9868.00129. S2CID 17175587.

Functional data analysis (English Wikipedia)

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