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August 29, 2000 Econ.222 email: [email protected] Economics 7818 Dr. Waldman Office hours: TR 3:30 - 5:00 Course Information General: Economics 7818 is a one-semester course in statistics for economics Ph.D. students. It is the first course in the two-semester requirement in statistics/econometrics for the PhD offered by the Department of Economics. The fundamental tool of applied economists (and other social scientists) is called regression analysis. The purpose of this course is to present the mathematical statistics foundation for the study of regression analysis. Regression analysis is the topic of Economics 7828. Prerequisites: There are no economics course prerequisites. Economic examples will be used in class and for problem sets, but the subject matter is essentially self-contained. General prerequisites are a knowledge of differential and integral calculus, and more importantly, the ability to manipulate algebraic expressions, and ultimately, the ability to reason abstractly. Requirements: There will be two lectures weekly, meeting Tuesdays and Thursdays from 2:00 to 3:15. There will be a midterm exam, Thursday, October 19, a final exam, and periodic problem sets throughout the semester. Grading: Grades will be determined approximately as follows: Midterm: Final exam: Problem Sets: Residual: * 30% 35% 25% 10% *This includes class participation, contact in office hours, subjective scoring of written work, etc. Text: Introduction to Statistics and Econometrics, by Takeshi Amemiya, Harvard University Press, 1994. Course outline: The first nine chapters of the text will be covered, in the order presented: Chapter 1 2 3,4 5, 6 7 8 1 2 3 4 5 Topics Introduction and basic probability concepts Probability; random variables Probability distributions Moments of a·distribution Binomial and normal random variables Midterm review and midterm 9, 10 11-13 14 15, 16 6 7 8 9 Large sample (asymptotic) theory Point estimation Interval estimation and Bayesian methods Hypothesis testing, review