Penalized B-splines in GAMsSimon N. Wood
Starting with a generalized additive model, we expand the additive component of each variable in terms of a generous amount of B-Splines basis functions. In order to prevent overfitting and to obtain smooth functions, we estimate the regression model by applying a penalized version of PLS. ...
Flexible smoothing with B-splines and penalties Statistical Science (1996) J. Duchon Splines minimizing rotation-invariant semi-norms Solobev spaces Construction Theory of Functions of Several Variables (1977) Golub, Heath Wahba, 1979. Generalized cross validation as a method for choosing a good ridge...
copula density estimationhierarchical B‐splinespenalized spline smoothingquadratic programmingThe paper introduces a new method for flexible spline fitting for copula density estimation. Spline coefficients are penalized to achieve a smooth fit. To weaken the curse of dimensionality, instead of a full ...
Non-parametric small area models using shape-constrained penalized B-splinesRegional estimationRemote sensing dataShape-constrained spline modelsFor the estimation of spruce timber reserves in individual forest districts of the German federal state Rhineland-Palatinate, small area methods are applied. A ...
In this study, we focus on the estimation of the regression function in the single-index model based on B-splines using penalization techniques. We adopt a spherical coordinates reparameterization of an index vector to deal with an identification problem of the single-index model. To provide a ...
P-splinesSingle-index modelSemiparametric modelSmoothing parameterWe consider the estimation problem of conditional quantile when multi-dimensional covariates are involved. To overcome the "curse of dimensionality" yet retain model flexibility, we propose two partially linear models for conditional quantiles:...
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Goodner. Spatially adaptive Bayesian penalized splines with heteroscedastic errors. Journal of Computation and Graphical Statistics, 16(2):265-288, 2007.Crainiceanu, C.; Ruppert, D.; Carroll, R.; Joshi, A.; and Goodner, B. 2007. Spatially adaptive Bayesian penalized splines with ...
Becher H, Kauermann G, Khomski P, Kouyate B: Using penalized splines to model age- and season-of-birth-dependent effects of childhood mortality risk factors in rural Burkina Faso. Biom J 2009, 51(1):110-122.Becher H, Kauermann G, Khomski P, Kouyate´ B. Using penalized splines to...