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MULTIVARIATE SMOOTHING SPLINE FUNCTIONS

Given data $z_i = g(t_i ) + \varepsilon _i , 1 \leqq i \leqq n$, where g is the unknown function, the $t_i $ are known d-dimensional variables in a domain $\Omega $, and the $\varepsilon _i $ are i...

[1] S. Agmon. Lectures on Elliptic Boundary Value Problems , 1965 .

[2] G. Wahba,et al. A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines , 1970 .

[3] J. Lions,et al. Non-homogeneous boundary value problems and applications , 1972 .

[4] H. T. Davis,et al. Periodic Splines and Spectral Estimation , 1974 .

[5] H. Weinberger. Variational Methods for Eigenvalue Approximation , 1974 .

[6] H. Triebel. Interpolation Theory, Function Spaces, Differential Operators , 1978 .

[7] Peter Craven,et al. Smoothing noisy data with spline functions , 1978 .

[8] P. Gaenssler,et al. Empirical Processes: A Survey of Results for Independent and Identically Distributed Random Variables , 1979 .

[9] F. Utreras Diaz,et al. Sur le choix du paramètre d'ajustement dans le lissage par fonctions spline , 1980 .

[10] J. Wendelberger,et al. The Computation of Laplacian Smoothing Splines with Examples. , 1981 .

[11] B. Silverman,et al. On the Estimation of a Probability Density Function by the Maximum Penalized Likelihood Method , 1982 .

[12] D. Ragozin. Error bounds for derivative estimates based on spline smoothing of exact or noisy data , 1983 .

[13] D. Cox. Asymptotics for $M$-Type Smoothing Splines , 1983 .

[14] M. Hutchinson,et al. Smoothing noisy data with spline functions , 1985 .

[15] P. Speckman. Spline Smoothing and Optimal Rates of Convergence in Nonparametric Regression Models , 1985 .