From Finite Sample to Asymptotic Methods in Statistics

1. Motivation and basic tools 2. Estimation theory 3. Hypothesis testing 4. Elements of statistical decision theory 5. Stochastic processes: an overview 6. Stochastic convergence and probability inequalities 7. Asymptotic distributions 8. Asymptotic behavior of estimators and tests 9. Categorical data models 10. Regression models 11. Weak convergence and Gaussian processes.