References Bollerslev, T. (1986) “Generalised autoregressive conditional heteroscedasticity”, Journal of Econometrics, Vol. 31, pp. 307-327. Boussama, F. (2000) “Asymptotic normality for the quasi-maximum likelihood estimator of a GARCH model”, Comptes Rendus de l’Academie des Sciences, Serie I, 331, pp. 81-84 (in French). Caporin, M., M. McAleer (2009) “Do we really need both BEKK and DCC? A tale of two covariance models”, Available at SSRN: http://ssrn.com/abstract=1338190. Caporin, M., M. McAleer (2010) “Do we really need both BEKK and DCC? A tale of two multivariate GARCH models”, to appear in Journal of Economic Surveys, Available at SSRN: http://ssrn.com/abstract=1549167. Chan, F., C. Lim and M. McAleer (2005) “Modelling multivariate international tourism demand and volatility”, Tourism Management, Vol. 26, pp. 459-471. Chang, C.-L. and M. McAleer (2009) “Daily tourist arrivals, exchange rates and volatility for Korea and Taiwan”, Korean Economic Review, Vol. 25, pp. 241-267. Chang, C.-L., M. McAleer and D. Slottje (2009) “Modelling international tourist arrivals and volatility: An application to Taiwan”, in D. Slottje (ed.), Quantifying Consumer Preferences, Contributions to Economic Analysis Series, Volume 288, Emerald Group Publishing, pp. 303-332. Available at SSRN: http://ssrn.com/abstract=1355108. Corsi, F. (2009) “A simple approximate long-memory model of realized volatility”, Journal of Financial Econometrics, Vol. 7, pp. 174-196. Dickey, D.A. and W. A. Fuller (1979) “Distribution of the estimators for autoregressive time series with a unit root”, Journal of the American Statistical Association, Vol. 74, pp. 427-431. Dickey, D.A. and W. A. Fuller (1981) “Likelihood ratio statistics for autoregressive time series with a unit root”, Econometrica, Vol. 49, pp. 1057-1072. Divino, J.A. and M. McAleer (2009) “Modelling and forecasting sustainable international tourism demand for the Brazilian Amazon”, Environmental Modelling & Software, Vol. 24, pp. 1411-1419. Divino, J.A. and M. McAleer (2010) “Modelling and forecasting daily international mass tourism to Peru”, Tourism Management, Vol. 31, pp. 846-854. Elie, L., T. Jeantheau (1995) “Consistency in heteroskedastic models”, Comptes Rendus de l’Académie des Sciences, Série I, 320, pp. 1255-1258 (in French). Engle, R.F. (1982) “Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation”, Econometrica, Vol. 50, pp. 987-1007. Glosten, L., R. Jagannathan and D. Runkle (1992) “On the relation between the expected value and volatility of nominal excess return on stocks”, Journal of Finance, Vol. 46, pp. 1779-1801. Hoti, S., M. McAleer and R. Shareef, (2005) “Modelling country risk and uncertainty in small island tourism economies”, Tourism Economics, Vol. 11, pp. 159-183. Hoti, S., M. McAleer and R. Shareef (2007) “Modelling international tourism and country risk spillovers for Cyprus and Malta”, Tourism Management, Vol. 28, pp. 1472-84. Jeantheau, T. (1998) “Strong consistency of estimators for multivariate ARCH models”, Econometric Theory, Vol. 14, pp. 70-86. Lee, S.W. and B.E. Hansen (1994) “Asymptotic theory for the GARCH(1,1) quasi-maximum likelihood estimator”, Econometric Theory, Vol. 10, pp. 29-52. Li, W.K., S. Ling and M. McAleer (2002) “Recent theoretical results for time series models with GARCH errors”, Journal of Economic Surveys, 16, 245-269. Reprinted in M. McAleer and L. Oxley (eds.), Contributions to Financial Econometrics: Theoretical and Practical Issues, Blackwell, Oxford, pp. 9-33. Ling, S. and W.K. Li (1997) “On fractionally integrated autoregressive moving-average models with conditional heteroskedasticity”, Journal of the American Statistical Association, Vol. 92, pp. 1184-1194. Ling, S. and M. McAleer (2002a) “Stationarity and the existence of moments of a family of GARCH processes”, Journal of Econometrics, Vol. 106, pp. 109-117. Ling, S. and M. McAleer (2002b) “Necessary and sufficient moment conditions for the GARCH(r,s) and asymmetric power GARCH(r,s) models”, Econometric Theory, Vol. 18, pp. 722-729. Ling, S. and M. McAleer (2003a) “Asymptotic theory for a vector ARMA-GARCH model”, Econometric Theory, Vol. 19, pp. 278-308. Ling, S and M. McAleer (2003b) “On adaptive estimation in nonstationary ARMA models with GARCH errors”, Annals of Statistics, Vol. 31, pp. 642-674. McAleer, M. (2005) “Automated inference and learning in modeling financial volatility”, Econometric Theory, Vol. 21, pp. 232-261. McAleer, M. (2009) “The Ten Commandments for optimizing value-at-risk and daily capital charges”, Journal of Economic Surveys, Vol. 23, pp. 831-849. McAleer, M., F. Chan and D. Marinova (2007) “An econometric analysis of asymmetric volatility: theory and application to patents”, Journal of Econometrics, Vol. 139, pp. 259-284. McAleer, M., J.-A. Jiménez-Martin and T. Perez Amaral (2009a) “Has the Basel II Accord encouraged risk management during the 2008-09 financial crisis?”, Available at SSRN: http://ssrn.com/abstract=1397239. McAleer, M., J.-A . Jiménez-Martin and T. Perez Amaral (2009b) “Optimal risk management before, during and after the 2008-09 financial crisis”, Available at SSRN: http://ssrn.com/abstract=1473191. McAleer, M., J.-A. Jiménez-Martin and T. Perez Amaral (2010) “What happened to risk management during the 2008-09 financial crisis?”, in R.W. Kolb (ed.), Lessons from the Financial Crisis: Causes, Consequences, and Our Economic Future, Wiley, New York, 2010, pp. 307-316, Available at SSRN: http://ssrn.com/abstract=1442034. McAleer, M., T. Perez Amaral and J.-A. Jiménez-Martin (2009) “A decision rule to minimize daily capital charges in forecasting value-at-risk”, Journal of Forecasting, Vol. 29, No. 7, pp. 617-634. McAleer, M., and M. Medeiros (2008) “A multiple regime smooth transition heterogeneous autoregressive model for long memory and asymmetries”, Journal of Econometrics, Vol.147, No. 1, pp. 104-119. Muller, U. M. Dacorogna, R. Dav, R. Olsen, O. Pictet and J. Ward (1993) “Fractals and intrinsic time - a challenge to econometricians”, in Proceedings of the XXXIXth International AEA Conference on Real Time Econometrics. Nelson, D.B. (1991) “Conditional heteroscedasticity in asset returns: a new approach”, Econometrica, Vol. 59, pp. 347-370. Phillips, P.C.B. and P. Perron (1988) “Testing for a unit root in time series regression”, Biometrika, Vol. 75, pp. 335-346. Shareef, R. and M. McAleer (2005) “Modelling international tourism demand and volatility in small island tourism economies”, International Journal of Tourism Research, Vol. 7, pp. 313-333. Shareef, R. and M. McAleer (2007) “Modelling the uncertainty in international tourist arrivals to the Maldives”, Tourism Management, Vol. 28, pp. 23-45. Shareef, R. and M. McAleer (2008) “Modelling international tourism demand and uncertainty in Maldives and Seychelles: a portfolio approach”, Mathematics and Computers in Simulation, Vol. 78, pp. 459-68. Shephard, N. (1996) “Statistical aspects of ARCH and stochastic volatility, in O.E. Barndorff-Nielsen, D.R. Cox and D.V. Hinkley (eds.)”, Statistical Models in Econometrics, Finance and Other Fields, Chapman & Hall, London, pp. 1-67.