Author | Gyรถrfi, Lรกszlรณ. author |
---|---|
Title | A Distribution-Free Theory of Nonparametric Regression [electronic resource] / by Lรกszlรณ Gyรถrfi, Michael Kohler, Adam Krzyลผak, Harro Walk |
Imprint | New York, NY : Springer New York, 2002 |
Connect to | http://dx.doi.org/10.1007/b97848 |
Descript | XVI, 650 p. online resource |
Why Is Nonparametric Regression Important? -- How to Construct Nonparametric Regression Estimates? -- Lower Bounds -- Partitioning Estimates -- Kernel Estimates -- k-NN Estimates -- Splitting the Sample -- Cross-Validation -- Uniform Laws of Large Numbers -- Least Squares Estimates I: Consistency -- Least Squares Estimates II: Rate of Convergence -- Least Squares Estimates III: Complexity Regularization -- Consistency of Data-Dependent Partitioning Estimates -- Univariate Least Squares Spline Estimates -- Multivariate Least Squares Spline Estimates -- Neural Networks Estimates -- Radial Basis Function Networks -- Orthogonal Series Estimates -- Advanced Techniques from Empirical Process Theory -- Penalized Least Squares Estimates I: Consistency -- Penalized Least Squares Estimates II: Rate of Convergence -- Dimension Reduction Techniques -- Strong Consistency of Local Averaging Estimates -- Semirecursive Estimates -- Recursive Estimates -- Censored Observations -- Dependent Observations