[1] |
Anderson, J.A. (1995) An introduction to neural networks. MIT press. · Zbl 0850.68263 |
[2] |
Barry, D. (1996) An empirical Bayes approach to growth curve analysis. Journal of the Royal Statistical Society: Series D (The Statistician), 45(1), 3-19. |
[3] |
Berhane, K. & Molitor, N.‐T. (2008) A Bayesian approach to functional‐based multilevel modeling of longitudinal data: applications to environmental epidemiology. Biostatistics, 9(4), 686-699. · Zbl 1437.62395 |
[4] |
Brumback, B.A. & Rice, J.A. (1998) Smoothing spline models for the analysis of nested and crossed samples of curves. Journal of the American Statistical Association, 93(443), 961-976. · Zbl 1064.62515 |
[5] |
Chen, H. & Wang, Y. (2011) A penalized spline approach to functional mixed effects model analysis. Biometrics, 67(3), 861-870. · Zbl 1226.62030 |
[6] |
Cybenko, G. (1989) Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals and Systems, 2(4), 303-314. · Zbl 0679.94019 |
[7] |
De Vito, S., Massera, E., Piga, M., Martinotto, L. & Di Francia, G. (2008) On field calibration of an electronic nose for benzene estimation in an urban pollution monitoring scenario. Sensors and Actuators B: Chemical, 129(2), 750-757. |
[8] |
Faraway, J.J. (1997) Regression analysis for a functional response. Technometrics, 39(3), 254-261. · Zbl 0891.62027 |
[9] |
Guo, W. (2002) Functional mixed effects models. Biometrics, 58(1), 121-128. · Zbl 1209.62072 |
[10] |
Gurney, K. (2018) An introduction to neural networks. CRC Press. |
[11] |
Hornik, K. (1991) Approximation capabilities of multilayer feedforward networks. Neural Networks, 4(2), 251-257. |
[12] |
Leshno, M., Lin, V.Y., Pinkus, A. & Schocken, S. (1993) Multilayer feedforward networks with a nonpolynomial activation function can approximate any function. Neural Networks, 6(6), 861-867. |
[13] |
Li, J., Huang, C., Hongtu, Z. & Initiative, A.D.N. (2017) A functional varying‐coefficient single‐index model for functional response data. Journal of the American Statistical Association, 112(519), 1169-1181. |
[14] |
Lin, X. & Zhang, D. (1999) Inference in generalized additive mixed models by using smoothing splines. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 61(2), 381-400. · Zbl 0915.62062 |
[15] |
Liu, H., You, J. & Cao, J. (2021) A dynamic interaction semiparametric function‐on‐scalar model. Journal of the American Statistical Association, 1-14. |
[16] |
Luo, X., Zhu, L. & Zhu, H. (2016) Single‐index varying coefficient model for functional responses. Biometrics, 72(4), 1275-1284. · Zbl 1390.62291 |
[17] |
Morris, J.S. (2015) Functional regression. Annual Review of Statistics and its Application, 2, 321-359. |
[18] |
Morris, J.S. & Carroll, R.J. (2006) Wavelet‐based functional mixed models. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 68(2), 179-199. · Zbl 1110.62053 |
[19] |
Müller, B., Reinhardt, J. & Strickland, M.T. (1995) Neural networks: an introduction. Springer Science & Business Media. · Zbl 0831.68083 |
[20] |
Pinkus, A. (1999) Approximation theory of the MLP model in neural networks. Acta Numerica, 8, 143-195. · Zbl 0959.68109 |
[21] |
Ramsay, J.O. & Silverman, B.W. (2005) Functional data analysis. 2nd Edition. New York: Springer. · Zbl 1079.62006 |
[22] |
Reiss, P.T., Huang, L. & Mennes, M. (2010) Fast function‐on‐scalar regression with penalized basis expansions. The International Journal of Biostatistics, 6(1), 28. |
[23] |
Scheipl, F., Staicu, A.‐M. & Greven, S. (2015) Functional additive mixed models. Journal of Computational and Graphical Statistics, 24(2), 477-501. |
[24] |
Spitzner, D.J., Marron, J. & Essick, G. (2003) Mixed‐model functional Anova for studying human tactile perception. Journal of the American Statistical Association, 98(462), 263-272. |
[25] |
Staniswalis, J.G. & Lee, J.J. (1998) Nonparametric regression analysis of longitudinal data. Journal of the American Statistical Association, 93(444), 1403-1418. · Zbl 1064.62522 |
[26] |
Winning, H., Larsen, F., Bro, R. & Engelsen, S. (2008) Quantitative analysis of NMR spectra with chemometrics. Journal of Magnetic Resonance, 190(1), 26-32. |
[27] |
Wood, S.N. (2017) Generalized additive models: an introduction with R, chapter 6. CRC Press. · Zbl 1368.62004 |
[28] |
Wu, C.O. & Chiang, C.T. (2000) Kernel smoothing on varying coefficient models with longitudinal dependent variable. Statistica Sinica, 10, 433-456. · Zbl 0945.62047 |