Advanced Topics
Table of Contents
Fractional Difference of Time Series
- Integer Difference and Fractional Difference
- Example 1
ARMA Analysis for Regression Residuals
Auto-Regressive Conditional Heteroscedasticity
- The Model: ARCH(1), ARCH-M(1), GARCH(1,1)
- Model Identification for ARCH Process
- Model Estimation
- Example 3, Example 4, Example 5
- GARCH(1,1) Model Based on Non-Normal Distributions
- Example 6
- GPE2 Application Module: GARCH.GPE
Multi-Equation Time Series Models
- VAR Analysis
Readings
- W. Enders, Chapter 3, 5.
- W. H. Green, Chapter 20.
- K.-P. Lin, Chapter 14.
- Additional Readings:
- T. Bollerslev, "Generalized Autoregressive Conditional Heteroskedasticity," Journal of Econometrics 31, 1986, 307-327.
- T. Bollerslev, " A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," Review of Economics and Statistics 69, 1987, 542-547 (Paper).
- T. Bollerslev and E. Ghysels, "Periodic Autoregressive Conditional Heterscedasticity," American Statistical Association Journal of Business and Economic Statistics 14, 1996, 139-151.
- R. F. Engle, "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica 50, 1982, 987-1006 (Paper).
- R. F. Engle, D. M. Lilien, and R. P. Robins, "Estimating Time-Varying Risk Premia in the Term Structure: the ARCH-M Model," Econometrica 55, 1987, 391-407 (Paper).
- L. R. Glosten, R. Jagannathan, and D. Runkle, "Relationship Between the Expected Value and the Volatility of the Normal Excess Return on Stocks," Journal of Finance, 48, 1993, 1779-1801 (Paper).
- D. B. Nelson, "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica 59, 1991, 347-370 (Paper).