Course: 2024/2025

Econometrics I

(16857)

Requirements (Subjects that are assumed to be known)

Calculus, Linear Algebra and Statistics at B.Sc. in Economics level.

This course provides the probability and statistics background for Econometrics II as well as the rest of quantitative courses taught in our Ph.D. program. The course assumes that the student has knowledge of Calculus, Algebra and Statistics needed for standard Econometrics courses at a Bachelor level. At the end of the course the student is expected to acquire the probability and statistical tools needed to read research articles in professional journals.

Skills and learning outcomes

Description of contents: programme

PART I: PROBABILITY THEORY
1.- Probability spaces and random elements.
2.- Integration and differentiation.
3.- Distribution and its characteristics.
4.- Conditional expectations.
5.- Asymptotic theorems.
PART II: STATISTICAL INFERENCE
1.- Population, sample and moments.
2.- Statistical inference.
3.- Asymptotic criteria and inference.
4.- Estimation in parametric models.
5.- Hypotheses tests.
PART III: LINEAR MODEL
1. Modeling linear and nonlinear relations.
2. Finite sample inferences using OLS and ML.
3. Asymptotic inferences.
4. Identification and misspecification.
5. GMM/IV estimation.

Learning activities and methodology

Training activities
Lectures
Practical classes
Problem Sets
Individual student work
Tutorials
Teaching methodology
Exhibitions in class with teacher support and audiovisual media, in which the main concepts of matter are developed and the literature is provided to supplement student learning.
Practical classes with resolution of exercises and problems that illustrate the theory and allow to study particular cases and small extensions.
Problem sets to solve at home individually, helping to systematize the study of the subject and to revise fundamental concepts.

Assessment System

- % end-of-term-examination 55
- % of continuous assessment (assigments, laboratory, practicals...) 45

Calendar of Continuous assessment

Basic Bibliography

- Hayashi, F.. Econometrics.. Princeton University Press.. (2000)
- Shao, J.. Mathematical Statistics.. Springer. (2003)
- Shao, J.. Mathematical Statistics: Exercises and Solutions.. Springer.. (2005)

- Jun Shao · Lecture Notes Probability and Statistics 709 : http://www.stat.wisc.edu/~shao/stat709/main.html
- Jun Shao · Lectures Notes Probability and Statistics 710 : http://www.stat.wisc.edu/~shao/stat710/main.html

Additional Bibliography

- Amemiya T.. Advanced Econometrics. Harvard University Press. (1985)
- Ash, R.. Probability and Measure Theory. Academic Press.. (2000),2nd Edition.
- Bickel, P.J. and K.A. Doksum. Mathematical Statistics, vol. 1,2.. Prentice-Hall.. (2001)
- Bierens, H.. Introduction to the Mathematical and Statistical Foundations of Econometrics.. Cambridge.. (2004)
- Casella, R.and J. Berger. Statistical Inference,. Duxburry.. (2002)2nd Edition.
- Chow, Y.S. and H. Teicher. Probability Theory,. Springer. (1997)
- Cramer, H.. Mathematical Methods of Statistics.. Princeton.. (1946)
- Davidson, J.. Stochastic Limit Theory. Oxford Economic Press.. (1994)
- Davidson, R. and J.M. Makinnon. Estimation and Inference in Econometrics,. Oxford University Press.. (1993)
- Dhrymes, P.J.. Mathematics for Econometrics.. Springer.. (2000)
- Fuller, W.. Introduction to Statistical Time Series. Wiley. (1996) 2nd Edition.
- Gourieroux C. and A. Monfort. Statistics and Econometric Models Vol. 1 and 2. Cambridge . University Press. (1995)
- Greene W.. Econometric Analysis. Pearson -Prentice Hill. (1997)
- Jacod, J. and P. Protter. Probability Essentials.. Springer.. (2003) 2end Edition,
- Johnson J. and J. Dinardo. Econometric Methods. MacGraw-Hill. (1997)
- Lehman, E.L.. Elements of Large-Sample Theory,. Springer. (2004)
- Lehman, E.L. and Casella, G.. Theory of Point Estimation. Springer. (2001)
- Lehman, E.L. and Romano, J.R.. Testing Statistical Hypothesis. Springer.. (2005)
- Mittelhammer, R.. Mathematical Statistics for Economics and Business.. Springer-Verlag.. (1992)
- Mittelhammer, R.C., G.G. Judge and D.J. Miller. Econometrics Foundations, Cambridge.. University Press.. (2000)
- Mood, A., F. Graybill., and D. Boes. Introduction to the Theory of Statistics. McGraw Hill.. (1974)
- Rao, C.R.. Linear Statistical Inference and its Applications. Wiley.. (1973)
- Rohatgi,V. Statistical Inference.. Dover. (1984)
- Ruud P. (2000). An introduction to Classical Econometric Theory. Oxford University Press.. (2000)
- Serfling, R.. Approximation Theorems of Mathematical Statistics.. Wiley. (1980)
- White, H.. Asymptotic Theory for Econometricians.. Academic Press.. (1984)

Detailed subject contents or complementary information about assessment system of B.T.

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The course syllabus may change due academic events or other reasons.