Statistical Foundations of Econometric Modelling [Paperback]

This textbook provides an ideal introduction to econometrics through a grounding in probability theory and statistical inference.A thorough foundation in probability theory and statistical inference provides an introduction to the underlying theory of econometrics that motivates the student at a intuitive as well as a formal level.A thorough foundation in probability theory and statistical inference provides an introduction to the underlying theory of econometrics that motivates the student at a intuitive as well as a formal level.This book provides an introduction to econometrics through a thorough grounding in probability theory and statistical inference. The emphasis is on the concepts and ideas underlying probability theory and statistical inference, and on motivating the learning of them both at a formal and an intuitive level. By basing its approach on the underlying theory, it is able to cover fully the econometric theory required up to the intermediate level; its emphasis on mastering the concepts makes it an ideal introduction to the advanced texts and the econometric literature.Foreword David Hendry; Preface; Acknowledgements; Part I. Introduction: 1. Econometric modelling, a preliminary view; 2. Descriptive study of data; Part II. Probability Theory: 3. Probability; 4. Random variables and probability distributions; 5. Random vectors and their distributions; 6. Functions of random variables; 7. The general notion of expectation; 8. Stochastic processes; 9. Limit theorems; 10. Introduction to asymptotic theory; Part III. Statistical Inferences: 11. The nature of statistical inference; 12. Estimation I - properties of estimators; 13. Estimation II - methods; 14. Hypothesis testing and confidence regions; 15. The multivariate normal distribution; 16. Asymptotic test procedures; Part IV. The Linear Regression and Related Statistical Models: 17. Statistical models in econometrics; 18. The Gauss linear model; 19. The linear regression model I - specification,l3/