- 作 者：蔡天文，沈晓桐编
- 出 版 社：北京：高等教育出版社
- 出版年份：2010
- ISBN：9787040298512
- 标注页数：307 页
- PDF页数：316 页
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Part Ⅰ High-Dimensional Classification 3
Chapter 1 High-Dimensional Classification&Jianqing Fan,Yingying Fan and Yichao Wu 3
1 Introduction 3
2 Elements of classifications 4
3 Impact of dimensionality on classification 8
4 Distance-based classification Rules 14
5 Feature selection by independence rule 20
6 Loss-based classification 24
7 Feature selection in loss-based classification 27
8 Multi-category classification 31
References 34
Chapter 2 Flexible Large Margin Classifiers&Yufeng Liu and Yichao Wu 39
1 Background on classification 39
2 The support vector machine:the margin formulation and the SV interpretation 40
3 Regularization framework 45
4 Some extensions of the SVM:Bounded constraint machine and the balancing SVM 48
5 Multicategory classifiers 51
6 Probability estimation 62
7 Conclusions and discussions 66
References 67
Part Ⅱ Large-Scale Multiple Testing 75
Chapter 3 A Compound Decision-Theoretic Approach to Large-Scale Multiple Testing&T Tony Cai and Wenguang Sun 75
1 Introduction 75
2 FDR controlling procedures based on p-values 79
3 Oracle and adaptive compound decision rules for FDR control 82
4 Simultaneous testing of grouped hypotheses 93
5 Large-scale multiple testing under dependence 102
6 Open problems 111
References 112
Part Ⅲ Model Building with Variable Selection 119
Chapter 4 Model Building with Variable Selection&Ming Yuan 119
1 Introduction 119
2 Why variable selection 120
3 Classical approaches 121
4 Bayesian and stochastic search 125
5 Regularization 128
6 Towards more interpretable models 134
7 Further readings 141
References 142
Chapter 5 Bayesian Variable Selection in Regression with Networked Predictors&Feng Tai,Wei Pan and Xiaotong Shen 147
1 Introduction 147
2 Statistical models 149
3 Estimation 152
4 Results 154
5 Discussion 162
References 163
Part Ⅳ High-Dimensional Statistics in Genomics 169
Chapter 6 High-Dimensional Statistics in Genomics&Hongzhe Li 169
1 Introduction 169
2 Identification of active transcription factors using time-course gene expression data 173
3 Methods for analysis of genomic data with a graphical structure 178
4 Statistical methods in eQTL studies 182
5 Discussion and future direction 187
References 188
Chapter 7 An Overview on Joint Modeling of Censored Survival Time and Longitudinal Data&Runze Li and Jian-Jian Ren 195
1 Introduction 195
Chapter 9 Sufficient Dimension Reduction in Regression&Xiangrong Yin 257
1 Instroduction 257
2 Sufficient Dimension reduction in regression 258
3 Sufficient variable selection(SVS) 265
4 SDR for correlated data and large-p-small-n 266
5 Further discussion 267
Chapter 10 Combining Statistical Procedures&Lihua Chen and Yuhong Yang 275
1 Introduction 275
2 Combining for adaptation 279
3 Combining procedures for improvement 288
4 Concluding remarks 294
References 295
Subject Index 299
Author Index 301