Serves as a bridge between elementary and specialized statistics, with exercises that are fully solved and systematically built up.
Part I. Probability and Distribution Theory: 1. Probability; 2. Random variables, probability distributions and densities; 3. Expectations and their generating functions; 4. Special univariate distributions; 5. Joint distributions and densities; 6. Conditioning, dependence, and joint moments; 7. Functions of random variables; 8. The multivariate normal and functions thereof; Part II. Estimation and Inference: 9. Sample statistics and their distributions; 10. Asymptotic theory; 11. Principles of point estimation; 12. Likelihood, information, and maximum likelihood estimation; 13. Other methods of estimation; 14. Tests of hypotheses; Appendix A; Appendix B; Bibliography; Index.
Karim M. Abadir is Emeritus Professor of Financial Econometrics at Imperial College London, and Distinguished Visiting Professor at the American University in Cairo. He was the Head of the Statistics Group at the University of York and Chair of Econometrics and Statistics joint between the Departments of Mathematics and Economics 1996-2005, then Chair of Financial Econometrics 2005-2017 at Imperial College London. He was a founding editor of the Econometrics Journal for 10 years.