Smoothing spline ANOVA models /
Chong Gu.
- Springer, c2002.
- xiii, 289 p. : ill. ; 25 cm.
- Springer series in statistics .
- Springer series in statistics. .
Includes bibliographical references (p. [261]-271) and indexes.
Introduction -- Estimation Problem and Method -- Notation -- Decomposition of Multivariate Functions -- Case Studies -- Scope -- Model Construction -- Reproducing Kernel Hilbert Spaces -- Smoothing Splines on -- Polynomial Smoothing Splines on [0,1] -- Smoothing Splines on Product Domains -- Bayes Model -- Minimization of Penalized Functional -- Regression with Gaussian-Type Responses -- Preliminaries -- Smoothing Parameter Selection -- Bayesian Confidence Intervals -- Computation: Generic Algorithms -- Software -- Model Checking Tools -- Case Studies -- Computation: Special Algorithms -- More Splines -- Partial Splines -- Splines on the Circle -- L-Splines -- Thin-Plate Splines -- Regression with Exponential Families -- Preliminaries -- Smoothing Parameter Selection -- Approximate Bayesian Confidence Intervals -- Software: R Package gss -- Case Studies -- Probability Density Estimation -- Preliminaries -- Poisson Intensity -- Smoothing Parameter Selection -- Computation -- Case Studies -- Biased Sampling and Random Truncation -- Conditional Densities -- Response-Based Sampling -- Hazard Rate Estimation -- Preliminaries -- Smoothing Parameter Selection -- Case Studies -- Penalized Partial Likelihood -- Models Parametric in Time -- Asymptotic Convergence -- Preliminaries -- Rates for Density Estimates -- Rates for Hazard Estimates -- Rates for Regression Estimates. 1. 1.1. 1.2. 1.3. 1.4. 1.5. 2. 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 3. 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. 3.7. 3.8. 4. 4.1. 4.2. 4.3. 4.4. 5. 5.1. 5.2. 5.3. 5.4. 5.5. 6. 6.1. 6.2. 6.3. 6.4. 6.5. 6.6. 6.7. 6.8. 7. 7.1. 7.2. 7.3. 7.4. 7.5. 8. 8.1. 8.2. 8.3. 8.4.
0387953531 (alk. paper)
2001053052
Analysis of variance. Spline theory. Smoothing (Statistics)