Eilers, PHC, Marx, BD. %22Generalized linear models with P‐splines%22. In: Fahrmeir, L, Francis, B, Gilchrist, R, Tutz, G, eds. Proceedings of GLIM 92 and 7th International Workshop on Statistical Modelling, Munich, Germany. Advances in GLIM and Statistical Modelling. Vol. 78. New York: Springer‐Verlag; 1992, 72–77.
Eilers, PHC, Marx, BD. Flexible smoothing using B‐splines and penalized likelihood (with Comments and Rejoinder). Stat Sci 1996, 11:89–121.
O`Sullivan, F. A statistical perspective on Ill‐posed inverse problems (with Discussion). Stat Sci 1986, 1:505–527.
Wand, MP, Ormerod, JT. On semiparametric regression with O`Sullivan penalized splines. Aust N Z J Stat 2008, 50:179–198.
Ruppert, D, Carroll, RJ. Spatially‐adaptive penalties for spline fitting. Aust N Z J Stat 2000, 42:205–223.
Ruppert, D, Wand, MP, Carroll, RJ. Semiparametric Regression. New York: Cambridge University Press; 2003.
Ruppert, D, Wand, MP, Carroll, RJ. Semiparametric regression during 2003–2007. Electron J Stat 2009, 3:1193–1256.
de Boor, C. A Practical Guide to Splines. Applied Mathematical Sciences Revised edition. Vol. 27. New York: Springer‐Verlag; 2001.
Dierckx, P. Curve and Surface Fitting with Splines. Oxford: Clarendon Press; 1993.
Eilers, PHC. A perfect smoother. Anal Chem 2003, 75:3631–3636.
Marx, BD, Eilers, PHC. Direct generalized additive modeling with penalized likelihood. Comput Stat Data Anal 1998, 28:193–209.
Marx, BD, Eilers, PHC. Generalized linear regression on sampled signals and curves: A P‐spline approach. Technometrics 1999, 41:1–13.
Marx, BD, Eilers, PHC. Multidimensional penalized signal regression. Technometrics 2005, 47:13–22.
Eilers, PHC, Marx, BD. Generalized linear additive smooth structures. J Comput Graph Stat 2002, 11:758–783.
Gasson, PC. Geometry of Spatial Forms. Chichester, West Sussex, England: Ellis Horwood; 1983.
Golub, GH, Van Loan, CF. Matrix Computations. Baltimore: The Johns Hopkins Press; 1989.
Whittaker, ET. On a new method of graduation. Proc Edinburgh Math Soc 1923, 41:63–75.
Ruppert, D. Selecting the number of knots for penalized splines. J Comput Graph Stat 2002, 11:735–757.
Eilers, PHC, Marx, BD. Multivariate calibration with temperature interaction using two‐dimensional penalized signal regression. Chemometr Intell Lab Syst 2003, 66:159–174.
Durbán Currie, I, Eilers, PHC. %22Using P‐splines to smooth two‐dimensional Poisson data%22. In: Stasinopoulos, M, Touloumi, G, eds. Proceedings of the 17th International Workshop on Statistical Modelling. Chania, Greece; 2002, 207–214.
Currie, I, Durbán, M, Eilers, PHC. %22Using P‐splines to extrapolate two‐dimensional Poisson data%22. In: Verbeke, G, Molenberghs, G, Aerts, A, Fieuws, S, eds. Proceedings of the 18th International Workshop on Statistical Modelling. Leuven, Belgium: 2003, 97–102.
Currie, I, Durbán, M, Eilers, PHC. Smoothing and forecasting mortality rates. Stat Model 2004, 4:279–298.
Eilers, PHC, Currie, ID, Durbán, M. Fast and compact smoothing on multi‐dimensional grids. Comput Stat Data Anal 2006, 50:61–76.
Wood, SN. Modelling and smoothing parameter estimation with multiple quadratic penalties. J R Stat Soc [Ser B] 2000, 62:413–428.
Zhao, Y, Staudenmayer, J, Coull, BA, Wand, MP. General design Bayesian generalized linear mixed models. Stat Sci 2006, 21:35–51.
Eilers, PHC. Discussion of: Verbyla AP, Cullis BR, Kenward MG, Welham SJ. The analysis of designed experiments and longitudinal data by using smoothing splines. J R Stat Soc [Ser C] 1999, 48:300–311.
Lang, S, Brezger, A. Bayesian P‐Splines. J Comput Graph Stat 2004, 13:183–212.
Hastie, T, Tibshirani, R. Generalized Additive Models. London: Chapman and Hall; 1990.
Schall, R. Estimation in generalized linear models with random effects. Biometrika 1991, 78:719–727.
Marx, BD, Eilers, PHC. Multivariate calibration stability: a comparison of methods. J Chemometr 2002, 16:129–140.
Aldrin, M. Improved predictions by penalizing both slopes and curvature in additive models. Comput Stat Data Anal 2006, 50:267–284.