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Statistics
Time Series Analysis
1. Introduction to Time Series
2. Foundational Concepts and Data Preparation
3. Descriptive Analysis and Decomposition
4. Stationarity and Unit Root Analysis
5. Autocorrelation and Dependence Structure
6. Classical Forecasting Methods
7. ARIMA Modeling
8. Seasonal ARIMA Models
9. Advanced Univariate Models
10. Volatility Modeling
11. Multivariate Time Series
12. State Space Models and Kalman Filtering
13. Machine Learning for Time Series
14. Forecasting Evaluation and Model Selection
15. Practical Forecasting Considerations
16. Software and Implementation
Multivariate Time Series
Vector Autoregression
VAR Model Structure
Lag Order Selection
Parameter Estimation
Impulse Response Functions
Forecast Error Variance Decomposition
Granger Causality
Definition and Testing
Interpretation
Limitations
Cointegration
Definition and Concepts
Engle-Granger Method
Johansen Method
Error Correction Models
Vector Error Correction Models
VECM Structure
Estimation Methods
Forecasting with VECM
Structural VAR Models
Identification Restrictions
Recursive Models
Long-Run Restrictions
Factor Models
Dynamic Factor Models
Principal Component Analysis
Factor-Augmented VAR
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10. Volatility Modeling
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12. State Space Models and Kalman Filtering