References
- Alexander, C. (2001), “Orthogonal GARCH,” Mastering Risk, Financial Times, 2, 21–38.
- Bauwens, L., Laurent, S., and Rombouts, J. V. (2006), “Multivariate GARCH Models: A Survey,” Journal of Applied Econometrics, 21, 79–109.
- Bierens, H. (1982), “Consistent Model Specification Test,” Journal of Econometrics, 20, 105–134.
- ——— (1990), “A Consistent Conditional Moment Test of Functional Form,” Econometrica, 58, 1443–1458.
- Bollerslev, T. (1990), “Modelling the Coherence in Short-Run Nominal Exchange Rates: A Multivariate Generalized ARCH Model,” Review of Economics and Statistics, 72, 498-505.
- Bollerslev, T., Chou, R. Y., and Kroner, K. F. (1992), “ARCH Modeling in Finance: A Selective Review of the Theory and Empirical Evidence,” Journal of Econometrics, 52, 5-59.
- Engle, R. (2002), “Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models,” Journal of Business and Economic Statistics, 20, 339-350.
- Engle, R., Ng, V., and Rothschild, M. (1990), “Asset Pricing With a Factor-Arch Covariance Structure, Empirical Estimates for Treasury Bills,” Journal of Econometrics, 45, 213–237.
- Escanciano, J. (2006), “Goodness-of-fit Tests for Linear and Nonlinear Time Series Models,” Journal of the American Statistical Association, 101, 531–541.
- Fan, J., Fan, Y., and Lv, J. (2007), “Aggregation of Nonparametric Estimators for Volatility Matrix,” Journal Financial Econometrics, 5, 321–357.
- Fan, J., Wang, M., and Yao, Q. (2008), “Modelling Multivariate Volatilities via Conditionally Uncorrelated Components,” Journal of the Royal Statistical Society, Series B, 70, 676–702.
- Gourieroux, C. (1997), ARCH Models and Financial Applications, New York: Springer-Verlag.
- Hu, P., and Tsay, R. (2014), “Principal Volatility Component Analysis,” Journal of Business and Economic Statistics, 32, 153–164.
- Koul, H., and Stute, W. (1999), “Nonparametric Model Checks for Time Series,” Annals of Statistics, 27, 204–236.
- Lam, C., and Yao, Q. (2012), “Factor Modeling for High-Dimensional Time Series: Inference for the Number of Factors,” The Annals of Statistics, 40, 694–726.
- Lam, C., Yao, Q., and Bathia, N. (2011), “Estimation of Latent Factors for High-Dimensional Time Series,” Biometrika, 98, 901–918.
- Lee, C., and Shao, X. (2018), “Martingale Difference Divergence Matrix and Its Application to Dimension Reduction for Stationary Multivariate Time Series,” Journal of the American Statistical Association, 113, 216–229.
- Li, W., Gao, J., Li, K., and Yao, Q. (2016), “Modelling Multivariate Volatilities via Latent Common Factors,” Journal of Business and Economic Statistics, 34, 564–573.
- Matteson, D. S., and Tsay, R. S. (2011), “Dynamic Orthogonal Components for Multivariate Time Series,” Journal of the American Statistical Association, 106, 1450–1463.
- Pan, J., Polonik, W., and Yao, Q. (2010), “Estimating Factor Models for Multivariate Volatilities: An Innovation Expansion Method,” Proceedings of COMPSTAT’2010 Physica-Verlag HD 2010, 305–314.
- Park, T., Shao, X., and Yao, S. (2015), “Partial Martingale Difference Correlation,” Electronic Journal of Statistics, 9, 1492–1517.
- Pelletier, D. (2006), “Regime Switching for Dynamic Correlations,” Journal of Econometrics, 131, 445–473.
- Shao, X., and Zhang, J. (2014), “Martinagle Difference Correlation and Its Use in High Dimensional Variable Screening,” Journal of the American Statistical Association, 109, 1302-1318.
- Stute, W. (1997), “Nonparametric Model Checks for Regression,” Annals of Statistics, 25, 613–641.
- Tsay, R. S. (2013), Multivariate Time Series Analysis: with R and Financial Applications, New York: John Wiley & Sons.
- van der Weide, R. (2002), “GO-GARCH: A Multivariate Generalized Orthogonal GARCH Model,” Journal of Applied Econometrics, 17, 549–564.
- Vrontos, I. D., Dellaportas, P., and Politis, D. N. (2003), “A Full-Factor Multivariate GARCH Model,” Econometrics Journal, 6, 312-334.
- Weide, R. (2002), “Go-Garch: A Multivariate Generalized Orthogonal Garch Model,” Journal of Applied Econometrics, 17, 549–564.
- Zhu, L. (2003), “Model Checking of Dimension-Reduction Type for Regression,” Statistica Sinica, 13, 283–296.