Preface
Part Ⅰ High-Dimensional Classification
Chapter 1 High-Dimensional Classification Jianqing Fan, Yingying Fan and Yichao Wu
1 Introduction
2 Elements of classifications
3 Impact of dimensionality on classification
4 Distance-based classification Rules
5 Feature selection by independence rule
6 Loss-based classification
7 Feature selection in loss-based classification
8 Multi-category classification
References
Chapter 2 Flexible Large Margin Classifiers Yufeng Liu and Yichao Wu
1 Background on classification
2 The support vector machine: the margin formulation and the SV interpretation
3 Regularization framework
4 Some extensions of the SVM: Bounded constraint machine and the balancing SVM
5 Multicategory classifiers
6 Probability estimation
7 Conclusions and discussions
References
Part Ⅱ Large-Scale Multiple Testing
Chapter 3 A Compound Decision-Theoretic Approach to Large-Scale Multiple Testing T. Tony Cai and Wenguang Sun
1 Introduction
2 FDR controlling procedures based on p-values
3 Oracle and adaptive compound decision rules for FDR control
4 Simultaneous testing of grouped hypotheses
5 Large-scale multiple testing under dependence
6 Open problems
References
Part Ⅲ Model Building with Variable Selection
Chapter 4 Model Building with Variable Selection Ming Yuan
1 Introduction
2 Why variable selection
3 Classical approaches
4 Bayesian and stochastic search
5 Regularization
6 Towards more interpretable models
7 Further readings
References
Chapter 5 Bayesian Variable Selection in Regression with Networked Predictors Feng Tai, Wei Pan and Xiaotong Shen
1 Introduction
2 Statistical models
3 Estimation
4 Results
5 Discussion
References
Part Ⅳ High-Dimensional Statistics in Genomics
Chapter 6 High-Dimensional Statistics in Genomics Hongzhe Li
1 Introduction
2 Identification of active transcription factors using time-course gene expression data
3 Methods for analysis of genomic data with a graphical structure..
4 Statistical methods in eQTL studies
5 Discussion and future direction
References
Chapter 7 An Overview on Joint Modeling of Censored Survival Time and Longitudinal Data
Runze Li and Jian-Jian Ren
1 Introduction
2 Survival data with longitudinal covariates
3 Joint modeling with right censored data
4 Joint modeling with interval censored data
5 Further studies
References
Part Ⅴ Analysis of Survival and Longitudinal Data
Chapter 8 Survival Analysis with High-Dimensional Covariates Bin Nan
1 Introduction
2 Regularized Cox regression
3 Hierarchically penalized Cox regression with grouped variables ...
4 Regularized methods for the accelerated failure time model
5 Tuning parameter selection and a concluding remark
References
Part Ⅵ Sufficient Dimension Reduction in Regression
Chapter 9 Sufficient Dimension Reduction in Regression Xiangrong Yin
1 Introduction
2 Sufficient dimension reduction in regression
3 Sufficient variable selection (SVS)
4 SDR for correlated data and large-p-small-n
5 Further discussion
References
Chapter 10 Combining Statistical Procedures Lihua Chen and Yuhong Yang
1 Introduction
2 Combining for adaptation
3 Combining procedures for improvement
4 Concluding remarks
References
Subject Index
Author Index
