Convergence of functional k-nearest neighbor regression estimate with functional responses

[1]  H. Lian.  Nonlinear functional models for functional responses in reproducing kernel hilbert spaces , 2007, math/0702120.

[2]  P. Vieu,et al.  NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS , 2007 .

[3]  P. Vieu,et al.  k-Nearest Neighbour method in functional nonparametric regression , 2009 .

[4]  Frédéric Ferraty,et al.  Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination , 2004 .

[5]  C. Preda.  Regression models for functional data by reproducing kernel Hilbert spaces methods , 2007 .

[6]  D. Pollard.  Convergence of stochastic processes , 1984 .

[7]  Peter E. Hart,et al.  Nearest neighbor pattern classification , 1967, IEEE Trans. Inf. Theory.

[8]  Ingrid Van Keilegom,et al.  On the Validity of the Bootstrap in Non‐Parametric Functional Regression , 2009 .

[9]  P. Vieu,et al.  Rate of uniform consistency for nonparametric estimates with functional variables , 2010 .

[10]  L. Delsol,et al.  Advances on asymptotic normality in non-parametric functional time series analysis , 2009 .

[11]  Frédéric Ferraty,et al.  The Functional Nonparametric Model and Application to Spectrometric Data , 2002, Comput. Stat..

[12]  Van Der Vaart,et al.  Rates of contraction of posterior distributions based on Gaussian process priors , 2008 .

[13]  P. Sarda,et al.  Functional Linear Regression with Functional Response: Application to Prediction of Electricity Consumption , 2008 .

[14]  P. Vieu,et al.  Nonparametric Functional Data Analysis: Theory and Practice (Springer Series in Statistics) , 2006 .

[15]  Thomas M. Cover,et al.  Estimation by the nearest neighbor rule , 1968, IEEE Trans. Inf. Theory.

[16]  D. Bosq.  Linear Processes in Function Spaces: Theory And Applications , 2000 .

[17]  E. Parzen.  On Estimation of a Probability Density Function and Mode , 1962 .

[18]  M. Talagrand,et al.  Probability in Banach Spaces: Isoperimetry and Processes , 1991 .

[19]  Jon A. Wellner,et al.  Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .

[20]  S. Geer.  Applications of empirical process theory , 2000 .