I Probability
1 Probability 3
2 Random Variables 19
3 Expectation 47
4 Inequalities 63
5 Convergence of Random Variables 71
II Statistical Inference
6 Models, Statistical Inference and Learning 87
7 Estimating the CDF and Statistical Functionals 97
8 The Bootstrap 107
9 Parametric Inference 119
10 Hypothesis Testing and p-values 149
11 Bayesian Inference 175
12 Statistical Decision Theory 193
III Statistical Models and Methods
13 Linear and Logistic Regression 209
14 Multivariate Models 231
15 Inference About Independence 239
16 Causal Inference 251
17 Directed Graphs and Conditional Independence 263
18 Undirected Graphs 281
19 Log-Linear Models 291
20 Nonparametric Curve Estimation 303
21 Smoothing Using Orthogonal Functions 327
22 Classification 349
23 Probability Redux: Stochastic Processes 381
24 Simulation Methods 403
Index 434