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 Courses : Elective (18) |  Category : Mathematics and Statistics (4) |  | | Measure and Integration | Prerequisite, advanced calculus. Lebesgue and abstract measure and integration, convergence theorems, differentiation. Radon-Nikodym theorem, product measures. Fubini theorems. Lp spaces. Fall. Leadbetter. (3). |  | | Probability Theory | Prerequisite, Statistics 154 or permission of instructor. Foundations of probability. Basic classical theorems. Modes of probabilistic convergence. Central limit problem. Generating functions, characteristic functions. Conditional probability and expectation. Spring. Kelly. (3) |  | | Introduction to Stochastic Processes | Prerequisites for nonstatistics majors, Statistics 126 and permission of instructor. Discrete Markov chains; Continuous Markov chains: Poisson, birth-death, etc.; Stationary processes. Fall. Ji. (3). |  | | Stochastic Analysis | Prerequisite, Statistics 154 amd 155, or permission of the instructor. Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral. Applications to filtering theory, infinite particle systems, quantum mechanics, and stochastic models in neurophysiology. (3). |  Category : Finance at Duke University (4) |  | | Finance 1 | |  | | Finance 2 | |  | | Finance 3 | |  | | Finance 4 | |  Category : Economics (4) |  | | Game Theory 1 | Prerequisite, Economics 710 (200), 711 (201), or permission of the instructor. Non-cooperative games in strategic and extensive form with perfect and imperfection information. Other topics from: information economics, mechanism design, auctions, repeated games, bargaining, bounded rationality, learning, evolutionary games, cooperative games. Fall. Parreiras.
|  | | Game Theory 2 | Prerequisite, Economics 710 (200), 711 (201), or permission of the instructor. Topics covered will be chosen from those listed, but not covered in Economics 810 (221). Fall or spring. Biglaiser, Parreiras.
|  | | International Monetary Economics | Prerequisite, graduate standing in economics or permission of the instructor. Analysis of the international monetary system; exchange rates; the process of adjustment in the balance of payments. Fall or spring. Black, Conway.
865 (263) ECONOMIC DEVELOPMENT: THEORY AND POLICY (3). Prerequisite
|  | | Seminar in Microeconomic Theory | Prerequisite, permission of the instructor. Advanced study of theoretical and applied topics in monetary economics. Fall or spring. Froyen, Salemi. |  Category : Econometrics (6) |  | | Econometrics | Prerequisite, Economics 770 (271) or equivalent. One semester coverage of basic econometrics. Topics include: regression under ideal and nonideal conditions; special models, including simultaneous equations models; and applications and econometric computer programs. Spring. Guilkey, Mroz, Parke. |  | | Advanced Econometrics | Prerequisites, Economics 770 (271), Economics 771 (272), and Mathematics 547 (147). Economics 870 (273) constitutes a one-semester treatment of the fundamental theory of econometrics. Topics covered include asymptotic distribution theory, linear and nonlinear models, specification testing techniques, and simultaneous equations models. Fall. Campo, Ghysels, Guilkey, Parke, Renault.
|  | | Time Series Econometrics | Prerequisite, Economics 870 (273). Covers stationary univariate and multivariate time series models, spectral analysis methods, nonstationary models with time trends, unit roots and cointegration, and special topics such as conditional volatility, the Kalman filter and changes of regime. Spring. Ghysels, Parke, Renault.
|  | | Non-linear Econometric Methods | Prerequisite, Economics 870 (273). Density estimation, nonparametric regression, neural nets, nonlinear regression, generalized method of moments, seminonparametric time series, estimating stochastic differential equations and nonlinear latent variables. Fall or spring. (Not offered 2006/2007.)
873 (276) CROSS SECTIONAL ECONOMETRICS
|  | | Cross Sectional Econometrics | Prerequisite, Economics 870 (273). Maximum likelihood methods for limited dependent variables. Longitudinal data models and methods. Hazard models. Multivariate models with limited dependent variables. Fall or spring. Guilkey, Mroz. |  | | Econometrics | |
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