GARCH Model Estimation Using Estimated Quadratic Variation

REFERENCES

• Andersen , T. G. , Bollerslev , T. ( 1998 ). Answering the skeptics: Yes, standard volatility models do provide accurate forecasts . International Economic Review 39 ( 4 ): 885 – 905 .
   Web of Science ®Google Scholar
• Andersen , T. G. , Bollerslev , T. , Diebold , F. X. , Labys , P. ( 2003 ). Modeling and forecasting realized volatility . Econometrica 71 : 529 – 626 .
   Web of Science ®Google Scholar
• Barndorff-Neilsen , O. E. , Shephard , N. ( 2002 ). Econometric analysis of realised volatility and its use in estimating Lévy-based non-Gaussian OU type stochastic volatility models . Journal of the Royal Statistical Society Series B 64 : 253 – 280 .
   Google Scholar
• Berk , K. N. ( 1974 ). Consistent autoregressive spectral estimates . Annals of Statistics 2 : 489 – 502 .
   Web of Science ®Google Scholar
• Bollen , B. , Inder , B. ( 2002 ). Estimating daily volatility in financial markets utilizing intraday data . Journal of Empirical Finance 9 : 552 – 562 .
   Google Scholar
• Bollerslev , T. ( 1986 ). Generalized autoregressive conditional heteroskedasticity . Journal of Econometrics 31 : 307 – 327 .
   Web of Science ®Google Scholar
• Drost , F. C. , Werker , B. J. M. ( 1996 ). Closing the GARCH gap: Continuous time GARCH modeling . Journal of Econometrics 74 : 31 – 57 .
   Web of Science ®Google Scholar
• Drost , F. C. , Nijman , T. E. ( 1993 ). Temporal aggregation of GARCH processes . Econometrica 61 : 909 – 927 .
   Web of Science ®Google Scholar
• Engle , R. F. ( 1982 ). Autoregressive conditional heteroskedasticity with estimates of the variance of U.K. inflation . Econometrica 50 : 987 – 1008 .
   Web of Science ®Google Scholar
• Francq , C. , Zakoïan , J.-M. ( 2000 ). Estimating weak GARCH representations . Econometric Theory 16 : 692 – 728 .
   Web of Science ®Google Scholar
• Fuller , W. A. ( 1976 ). Introduction to Statistical Time Series . New York : Wiley .
   Google Scholar
• Galbraith , J. W. , Zinde-Walsh , V. ( 1994 ). A simple, non-iterative estimator for moving-average models . Biometrika 81 : 143 – 155 .
   Web of Science ®Google Scholar
• Galbraith , J. W. , Zinde-Walsh , V. ( 1997 ). On some simple, autoregression-based estimation and identification techniques for ARMA models . Biometrika 84 : 685 – 696 .
   Web of Science ®Google Scholar
• Galbraith , J. W. , Ullah , A. , Zinde-Walsh , V. ( 2002 ). Estimation of the vector moving average model by vector autoregression . Econometric Reviews 21 : 205 – 219 .
   Google Scholar
• Giraitis , L. , Kokoszka , P. , Leipus , R. ( 2000 ). Stationary ARCH models: Dependence structure and central limit theorem . Econometric Theory 16 : 3 – 22 .
   Web of Science ®Google Scholar
• Lee , S.-W. , Hansen , B. E. ( 1994 ). Asymptotic theory for the GARCH(1,1) quasi-maximum likelihood estimator . Econometric Theory 10 : 29 – 52 .
   Web of Science ®Google Scholar
• Lumsdaine , R. L. ( 1996 ). Consistency and asymptotic normality of the quasi-maximum likelihood estimator in IGARCH(1,1) and covariance stationary GARCH(1,1) models . Econometrica 64 : 575 – 596 .
   Web of Science ®Google Scholar
• Maheu , J. M. , McCurdy , T. H. ( 2002 ). Nonlinear features of realized FX volatility . Review of Economics and Statistics 84 : 668 – 681 .
   Web of Science ®Google Scholar
• McAleer , M. , Medeiros , M. ( 2008 ). Realized volatility: A review . Econometric Reviews 27 : 10 – 45 .
   Web of Science ®Google Scholar
• Meddahi , N. , Renault , E. ( 2004 ). Temporal aggregation of volatility models . Journal of Econometrics 119 : 355 – 376 .
   Web of Science ®Google Scholar
• Nelson , D. ( 1992 ). Filtering and forecasting with misspecified ARCH models I: Getting the right variance with the wrong model . Journal of Econometrics 52 : 61 – 90 .
   Web of Science ®Google Scholar
• Nelson , D. , Foster , D. P. ( 1995 ). Filtering and forecasting with misspecified ARCH models II: Making the right forecast with the wrong model . Journal of Econometrics 67 : 303 – 335 .
   Web of Science ®Google Scholar
• Pollard , D. ( 1991 ). Asymptotics for least absolute deviation regression estimators . Econometric Theory 7 : 186 – 199 .
   Web of Science ®Google Scholar
• Weiss , A. A. ( 1986 ). Asymptotic theory for ARCH models: Estimation and testing . Econometric Theory 2 : 107 – 131 .
   Google Scholar
• Xiao , Z. , Koenker , R. ( 2009 ). Conditional quantile estimation for Generalized Autoregressive Conditional Heteroscedastic models . Journal of the American Statistical Association 104 : 1696 – 1712 .
   Web of Science ®Google Scholar
• Zernov , S. , Zinde-Walsh , V. , Galbraith , J. W. ( 2009 ). Asymptotics for estimation of quantile regressions with truncated infinite-dimensional processes . Journal of Multivariate Analysis 100 : 497 – 508 .
   Web of Science ®Google Scholar
• Zhang , L. , Mykland , P. A. , Aıt-Sahalia , Y. ( 2005 ). A Tale of two time scales: Determining integrated volatility with noisy high-frequency data . Journal of the American Statistical Association 100 : 1394 – 1411 .
   Web of Science ®Google Scholar