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Econometric models

12 ECTS
Master's
Czech
Michal Černý

The aim of the course is to acquaint students with quantitative methods that are commonly used in economic analysis and modeling. The course presupposes knowledge of statistical theory at the level of the course Statistical Methods in Data Analysis and Basic Work in R. Seminars are focused on applications of theoretical concepts, while applications are performed using standard statistical program R. In seminars, emphasis is also placed on mastering programming techniques in R .

Course outline

Work in R - specific tasks
Programming and visualization tools in R for the needs of econometric applications. Basic work with data, data structures, import, export and data transformation. Specific data problems (missing, remote and contaminated observations).
Linear regression
Classical linear regression model. Model formulation, cross-sectional and dynamic models, special regressors (eg dummy or trend variables). Estimators and their properties - properties on final selections and asymptotic properties. OLS, GLS, MLE, robust estimators. Testing and consequences of heteroskedasticity and autocorrelation. Measurement of multicollinearity. Applications in macroeconomic and microeconomic fields.
Discrete and limited explanatory variables
Models with special explanatory variables (eg linear probability model, censored and truncated regression models, logit, probit and tobit model). ML estimators. Specification issues. Applications in scoring models.
Multi-equation models and panel data
General formulation of the system. SUR system. Models for panel data. System of simultaneous equations. Identification and estimators.
Time series
One-dimensional time series: Decomposition methods (seasonality, trends). Box-Jenkins methodology. Stationary. Applications in portfolio theory. Multidimensional time series: Generalization of one-dimensional methods. Vector autoregression. Granger causality. Cointegration and error correction models.

Course outline

Work in R – specific tasks
Programming and visualisation tools in R for econometric applications. Basic data handling, data structures, import, export and transformation of data. Specific data issues (missing, outlier and contaminated observations).
Linear regression
The classical linear regression model. Model formulation, cross-sectional and dynamic models, special regressors (e.g. dummy or trend variables). Estimators and their properties – finite sample properties and asymptotic properties. OLS, GLS, MLE, robust estimators. Testing and consequences of heteroskedasticity and autocorrelation. Measuring multicollinearity. Applications in macroeconomic and microeconomic contexts.
Discrete and limited dependent variables
Models with special dependent variables (e.g. linear probability model, censored and truncated regression models, logit, probit and tobit models). ML estimators. Specification issues. Applications in scoring models.
Multiequation models and panel data
General formulation of systems. SUR system. Models for panel data. Simultaneous equation systems. Identification and estimators.
Time series
Univariate time series: decomposition methods (seasonality, trends). Box–Jenkins methodology. Stationarity. Applications in portfolio theory. Multivariate time series: generalisation of univariate methods. Vector autoregression. Granger causality. Cointegration and error correction models.
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