All of Statistics: A Concise Course in Statistical Inference Brief Contents 1. Introduction.............................................. XXXXXXXXXX11 Part I Probability 2....

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