Probability, Statistics and Econometrics

Professor Oliver Linton (Professor of Political Economy, Trinity College, Cambridge University) has been a Co-editor of Econometric Theory since 2000, the Journal of Econometrics since 2014, was Co-Editor of Econometrics Journal from 2007-14. He is an Elected Fellow of the Econometric Society, the Institute of Mathematical Statistics, and the British Academy. He has published over 130 articles in statistics, econometrics, and in empirical finance. He is particularly interested in nonparametric and semiparametric methods and financial econometrics.

Part I: Probability and Distribution1. Probability Theory2. Conditional Probability and Independence3. Random Variables, Distribution Functions, and Densities4. Transformations of Random Variables5. The Expectation6. Examples of Univariate Distributions7. Multivariate Random Variables8. Asymptotic Theory9. Exercises and Complements

Part II: Statistics10. Introduction11. Estimation Theory12. Hypothesis Testing13. Confidence Intervals and Sets14. Asymptotic Tests and the Bootstrap15. Exercises and Complements

Part III: Econometrics 16. Linear Algebra17. The Least Squares Procedure18. Linear Model19. Statistical Properties of the OLS Estimator20. Hypothesis Testing for Linear Regression21. Omission of Relevant Variables, Inclusion of Irrelevant Variables, and Model Selection 22. Asymptotic Properties of OLS Estimator and Test Statistics23. Generalized Method of Moments and Extremum Estimators24. A Nonparametric Postscript25. A Case Study26. Exercises and Complements

Appendix A. Some Results from Calculus Appendix B. Some Matrix Facts