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f t Economics 7818 Dr. Waldman, Econ. 222, tel. 492-6781 Office hours: T 1:45 - 3:15, W 8:30 - 10:00 January 14, 1997 email: [email protected] 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. The fundamental tool of applied economists ( and other social scientists) is 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 reason abstractly. Requirements: There will be two lectures weekly, meeting Tuesdays and Thursdays from 12:30 to 1:45. There will be a quiz (given in about three weeks), a midterm exam, Thursday, March 6, a final exam, and periodic problem sets given throughout the semester. Grading: Grades will be determined approximately as follows: Quiz: Midterm: Final exam: Residual:* 5% 30% 40% 25% *This includes problem sets, class participation, contact m office hours, subjective scoring of written work, etc. Text: Introduction to Statistics and Econometrics, by Takeshi Amemiya, Harvard University Press, 1994. Tentative course outline: The first nine chapters of the text will be covered, in the order presented: Week Chapter 1 1 2 2 3, 4 5, 6 3 4 7 5 8 9, 10 11 12, 13 14 15, 16 6 7 8 9 Topics Introduction and basic probability concepts Basic probability concepts, continued Random variables and probability distributions Moments of a distribution Binomial and normal random variables Midterm review and midterm Large sample (asymptotic) theory Spring Break Point estimation Interval estimation and Bayesian methods Hypothesis testing, review