Rate-optimal estimation for a general class of nonparametric regression models with unknown link functions
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[1] M. Birman,et al. PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$ , 1967 .
[2] C. J. Stone,et al. The Dimensionality Reduction Principle for Generalized Additive Models , 1986 .
[3] Sara van de Geer,et al. Penalized quasi-likelihood estimation in partial linear models , 1997 .
[4] Christine Thomas-Agnan,et al. Smoothing Splines and Shape Restrictions , 1999 .
[5] Enno Mammen,et al. The Existence and Asymptotic Properties of a Backfitting Projection Algorithm Under Weak Conditions , 1999 .
[6] Mark Coppejans,et al. On Kolmogorov's representation of functions of several variables by functions of one variable , 2004 .
[7] Joel L. Horowitz,et al. NONPARAMETRIC ESTIMATION OF A GENERALIZED ADDITIVE MODEL WITH AN UNKNOWN LINK FUNCTION , 2001 .
[8] O. Linton,et al. A kernel method of estimating structured nonparametric regression based on marginal integration , 1995 .
[9] Göran Kauermann,et al. Local Likelihood Estimation in Generalized Additive Models , 2003 .
[10] C. J. Stone,et al. The Use of Polynomial Splines and Their Tensor Products in Multivariate Function Estimation , 1994 .
[11] Jean D. Opsomer,et al. Asymptotic Properties of Backfitting Estimators , 2000 .
[12] E. Mammen,et al. Generalised structured models , 2003 .
[13] W. Härdle,et al. Estimation of additive regression models with known links , 1996 .
[14] Joel L. Horowitz,et al. Nonparametric estimation of an additive model with a link function , 2002, math/0508595.
[15] B. Yandell. Spline smoothing and nonparametric regression , 1989 .
[16] David Ruppert,et al. Fitting a Bivariate Additive Model by Local Polynomial Regression , 1997 .
[17] J. Friedman,et al. Estimating Optimal Transformations for Multiple Regression and Correlation. , 1985 .
[18] E. Mammen,et al. A simple smooth backfitting method for additive models , 2006, math/0702657.
[19] Enno Mammen,et al. Smooth backfitting in generalized additive models , 2008, 0803.1922.
[20] S. Agmon. Lectures on Elliptic Boundary Value Problems , 1965 .
[21] John A. Nelder,et al. Generalized linear models. 2nd ed. , 1993 .
[22] Eric R. Ziegel,et al. Generalized Linear Models , 2002, Technometrics.
[23] M. C. Jones,et al. Spline Smoothing and Nonparametric Regression. , 1989 .
[24] P. McCullagh,et al. Generalized Linear Models, 2nd Edn. , 1990 .
[25] R. Tibshirani,et al. Linear Smoothers and Additive Models , 1989 .
[26] Jens Perch Nielsen,et al. Smooth backfitting in practice , 2005 .
[27] Dag Tjøstheim,et al. Nonparametric Identification of Nonlinear Time Series: Projections , 1994 .
[28] Anatoli B. Juditsky,et al. NONPARAMETRIC ESTIMATION OF COMPOSITE FUNCTIONS , 2009, 0906.0865.
[29] Wolfgang Härdle,et al. Direct estimation of low-dimensional components in additive models , 1998 .
[30] H. Ichimura,et al. SEMIPARAMETRIC LEAST SQUARES (SLS) AND WEIGHTED SLS ESTIMATION OF SINGLE-INDEX MODELS , 1993 .
[31] S. R. Jammalamadaka,et al. Empirical Processes in M-Estimation , 2001 .
[32] S. Geer. Empirical Processes in M-Estimation , 2000 .
[33] Joel L. Horowitz,et al. Optimal estimation in additive regression models , 2006 .
[34] S. Geer. Estimating a Regression Function , 1990 .
[35] W. Newey,et al. Convergence rates and asymptotic normality for series estimators , 1997 .
[36] Oliver Linton,et al. EFFICIENT ESTIMATION OF GENERALIZED ADDITIVE NONPARAMETRIC REGRESSION MODELS , 2000, Econometric Theory.
[37] C. J. Stone,et al. Additive Regression and Other Nonparametric Models , 1985 .
[38] Wolfgang Härdle,et al. BOOTSTRAP INFERENCE IN SEMIPARAMETRIC GENERALIZED ADDITIVE MODELS , 2004, Econometric Theory.
[39] Enno Mammen,et al. Bandwidth selection for smooth backfitting in additive models , 2005, math/0507425.
[40] Roland Glowinski,et al. An introduction to the mathematical theory of finite elements , 1976 .
[41] R. W. Wedderburn. Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method , 1974 .
[42] Stefan Hoderlein,et al. Local Partitioned Regression , 2006 .