Lai, Chu Shing. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 44-46). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- B-Spline Modeling of Nonparametric Fixed Effects --- p.3 / Chapter 3 --- Parameter Estimation --- p.5 / Chapter 3.1 --- Fixed Component Estimation using Adaptive Group Lasso --- p.5 / Chapter 3.2 --- Random Component Estimation using Newton Raphson --- p.7 / Chapter 3.3 --- Combining the Two Algorithms --- p.9 / Chapter 4 --- Selection of Model Complexity --- p.10 / Chapter 4.1 --- Model Selection Criterion --- p.10 / Chapter 4.2 --- Calculating the Degrees of Freedom --- p.10 / Chapter 4.3 --- Practical Minimization of (4.1) --- p.12 / Chapter 5 --- Theoretical results / Chapter 5.1 --- Consistency of adaptive group lasso --- p.14 / Chapter 5.2 --- Consistency of Bayesian Information Criterion --- p.16 / Chapter 6 --- Simulations / Chapter 7 --- Real applications / Chapter 7.1 --- Prostate cancer data --- p.23 / Chapter 7.2 --- Housing data --- p.25 / Chapter 7.3 --- Depression Dataset --- p.27 / Chapter 8 --- Summary --- p.31 / Chapter A --- Derivation of (3.7) and (3.8) --- p.32 / Chapter B --- Lemmas --- p.34 / Chapter C --- Proofs of theorems --- p.37
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327184 |
| Date | January 2010 |
| Contributors | Lai, Chu Shing., Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, v, 46 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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