文档介绍:All of Statistics: A Concise Course in
Statistical Inference
Brief Contents
1. Introduction…………………………………………………………11
Part I Probability
2. Probability…………………………………………………………...21
3. Random Variables…………………………….…………………….37
4. Expectation…………………………………………………………..69
5. Equalities…………………………………………………………….85
6. Convergence of Random Variables………………………………...89
Part II Statistical Inference
7. Models, Statistical Inference and Learning………………………105
8. Estimating the CDF and Statistical Functionals…………………117
9. The Bootstrap………………………………………………………129
10. Parametric Inference……………………………………………..145
11. Hypothesis Testing and p-values…………………………………179
12. Bayesian Inference………………………………………………..205
13. Statistical Decision Theory……………………………………….227
Part III Statistical Models and Methods
14. Linear Regression………………………………………………...245
15. Multivariate Models……………………………………………...269
16. Inference about Independence…………………………………..279
17. Undirected Graphs and Conditional Independence……………297
18. Loglinear Models…………………………………………………309
19. Causal Inference………………………………………………….327
20. Directed Graphs………………………………………………….343
21. Nonparametric curve Estimation……………………………….359
22. Smoothing Using Orthogonal Functions..………………………393
23. Classification……………………………………………………..425
24. Stochastic Processes………………………………………………473
25. Simulation Methods………………………………………………505
Appendix Fundamental Concepts in Inference
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