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Volumn 13, Issue 2, 2009, Pages

Finite sample theory of QMLEs in ARCH models with an exogenous variable in the conditional variance equation

Author keywords

ARCH models; Exogenous in the conditional variance; Finite sample properties QMLE

Indexed keywords


EID: 67650892234     PISSN: 10811826     EISSN: 15583708     Source Type: Journal    
DOI: 10.2202/1558-3708.1592     Document Type: Article
Times cited : (2)

References (37)
  • 1
    • 34547652626 scopus 로고    scopus 로고
    • The Second-Order Bias and Mean Squared Error of Estimators in Time Series Models
    • Bao, Y. and A. Ullah (2007), The Second-Order Bias and Mean Squared Error of Estimators in Time Series Models, Journal of Econometrics 140, 650-669.
    • (2007) Journal of Econometrics , vol.140 , pp. 650-669
    • Bao, Y.1    Ullah, A.2
  • 2
    • 0012676386 scopus 로고    scopus 로고
    • Forecasting S&P 100 Volatility: The Incremental Information Content of Implied Volatilities and High-Frequency Index Returns
    • Blair, B. J., S. J. Poon and S. J. Taylor (2001), Forecasting S&P 100 Volatility: the Incremental Information Content of Implied Volatilities and High-Frequency Index Returns, Journal of Econometrics 105, 5-26.
    • (2001) Journal of Econometrics , vol.105 , pp. 5-26
    • Blair, B.J.1    Poon, S.J.2    Taylor, S.J.3
  • 3
    • 42449156579 scopus 로고
    • Generalized Autoregressive Conditional Het-eroscedasticity
    • Bollerslev, T. (1986), Generalized Autoregressive Conditional Het-eroscedasticity, Journal of Econometrics 31, 307-327.
    • (1986) Journal of Econometrics , vol.31 , pp. 307-327
    • Bollerslev, T.1
  • 4
    • 70349218800 scopus 로고
    • Quasi Maximum Likelihood Estimation and Inference in Dynamic Models with Time Varying Covariances
    • Bollerslev, T. and J. M. Wooldridge (1992), Quasi Maximum Likelihood Estimation and Inference in Dynamic Models with Time Varying Covariances, Econometric Reviews 11, 143-172.
    • (1992) Econometric Reviews , vol.11 , pp. 143-172
    • Bollerslev, T.1    Wooldridge, J.M.2
  • 5
    • 0001523794 scopus 로고
    • Strict Stationarity of Generalized Autoregressive Processes
    • Bougerol P. and N. Picard (1992), Strict Stationarity of Generalized Autoregressive Processes, The Annals of Probability 20, 4, 1714-1730.
    • (1992) The Annals of Probability , vol.20 , Issue.4 , pp. 1714-1730
    • Bougerol, P.1    Picard, N.2
  • 7
    • 0141951804 scopus 로고    scopus 로고
    • The Time-Varying Nature of the Link between REIT, Real State and Financial Asset Returns
    • Clayton, J. and G. MacKinnon (2001), The Time-Varying Nature of the Link between REIT, Real State and Financial Asset Returns, Journal of Real State Portfolio Management 7, 1, 43-54.
    • (2001) Journal of Real State Portfolio Management , vol.7 , Issue.1 , pp. 43-54
    • Clayton, J.1    MacKinnon, G.2
  • 8
    • 0037289158 scopus 로고    scopus 로고
    • Asymptotic Theory for Multivariate GARCH Processes
    • Comte F. and O. Lieberman (2003), Asymptotic Theory for Multivariate GARCH Processes, Journal of Multivariate Analysis 84, 1, 61-84.
    • (2003) Journal of Multivariate Analysis , vol.84 , Issue.1 , pp. 61-84
    • Comte, F.1    Lieberman, O.2
  • 11
    • 2442450752 scopus 로고    scopus 로고
    • Estimation in a Simple Random Effects Model with Nonnormal Distributions
    • Cox, D. R. and P. Hall (2002), Estimation in a Simple Random Effects Model with Nonnormal Distributions, Biometrika 89, 4, 831-840.
    • (2002) Biometrika , vol.89 , Issue.4 , pp. 831-840
    • Cox, D.R.1    Hall, P.2
  • 12
    • 52449130310 scopus 로고    scopus 로고
    • The Wild Bootstrap, Tamed at Last
    • Davidson, R. and E. Flachaire (2008), The Wild Bootstrap, Tamed at Last, Journal of Econometrics 146, 1, 162-169.
    • (2008) Journal of Econometrics , vol.146 , Issue.1 , pp. 162-169
    • Davidson, R.1    Flachaire, E.2
  • 13
    • 85036258669 scopus 로고
    • Distribution of the Estimators for Autoregressive Time Series with a Unit Root
    • Dickey, D. and W. Fuller (1979), Distribution of the Estimators for Autoregressive Time Series with a Unit Root, Journal of the American Statistical Association 74, 427-431.
    • (1979) Journal of the American Statistical Association , vol.74 , pp. 427-431
    • Dickey, D.1    Fuller, W.2
  • 14
    • 3343005554 scopus 로고    scopus 로고
    • Simulation-Based Finite-Sample Tests for Heteroscedasticity and ARCH Effects
    • Dufour, J. M., L. Khalaf, J.-T.- Bernard and I. Genest (2004), Simulation-Based Finite-Sample Tests for Heteroscedasticity and ARCH Effects, Journal of Econometrics 122, 2, 317-347.
    • (2004) Journal of Econometrics , vol.122 , Issue.2 , pp. 317-347
    • Dufour, J.M.1    Khalaf, L.2    Bernard, J.-T.3    Genest, I.4
  • 15
    • 0000051984 scopus 로고
    • Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation
    • Engle, R. F. (1982), Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation, Econometrica 50, 987-1007.
    • (1982) Econometrica , vol.50 , pp. 987-1007
    • Engle, R.F.1
  • 16
    • 33644512767 scopus 로고    scopus 로고
    • A Multiple Indicators Model for Volatility Using Intra-Daily Data
    • Engle, R. F., and G. M. Gallo (2006), A Multiple Indicators Model for Volatility Using Intra-Daily Data, Journal of Econometrics 131, 1-2, 3-27.
    • (2006) Journal of Econometrics , vol.131 , Issue.1-2 , pp. 3-27
    • Engle, R.F.1    Gallo, G.M.2
  • 18
    • 67650873409 scopus 로고    scopus 로고
    • Engle, R. F. and D. Kraft (1983), Multiperiod Forecast Error Variances of Inflation Estimated from ARCH Models. In A. Zellner, ed., Applied Time Series Analysis of Economic Data. Washington D.C.: Bureau of the Census.
    • Engle, R. F. and D. Kraft (1983), Multiperiod Forecast Error Variances of Inflation Estimated from ARCH Models. In A. Zellner, ed., Applied Time Series Analysis of Economic Data. Washington D.C.: Bureau of the Census.
  • 21
    • 53649111578 scopus 로고    scopus 로고
    • Time Series Properties of ARCH Processes with Persistent Covariates
    • forthcoming
    • Han, H. and J. Y. Park (2008b), Time Series Properties of ARCH Processes with Persistent Covariates, Journal of Econometrics, forthcoming.
    • (2008) Journal of Econometrics
    • Han, H.1    Park, J.Y.2
  • 22
    • 67650892452 scopus 로고    scopus 로고
    • Small Sample Estimation Bias in GARCH Models with Any Number of Exogenous Variables in the Mean Equation
    • forthcoming
    • Iglesias, E. M. and G. D. A. Phillips (2008), Small Sample Estimation Bias in GARCH Models with Any Number of Exogenous Variables in the Mean Equation, Econometric Reviews, forthcoming.
    • (2008) Econometric Reviews
    • Iglesias, E.M.1    Phillips, G.D.A.2
  • 23
    • 0032342382 scopus 로고    scopus 로고
    • Strong Consistency of Estimators of Multivariate ARCH Models
    • Jeantheau, T. (1998), Strong Consistency of Estimators of Multivariate ARCH Models, Econometric Theory 14, 70-86.
    • (1998) Econometric Theory , vol.14 , pp. 70-86
    • Jeantheau, T.1
  • 24
    • 84974239969 scopus 로고
    • Asymptotic Theory for the GARCH(1,1) Quasi-Maximum Likelihood Estimator
    • Lee, S.-W. and B. E. Hansen (1994), Asymptotic Theory for the GARCH(1,1) Quasi-Maximum Likelihood Estimator, Econometric Theory 10, 29-52.
    • (1994) Econometric Theory , vol.10 , pp. 29-52
    • Lee, S.-W.1    Hansen, B.E.2
  • 25
    • 0038042506 scopus 로고    scopus 로고
    • Asymptotic Theory for a Vector ARMA-GARCH Model
    • Ling, S. and M. McAleer (2003), Asymptotic Theory for a Vector ARMA-GARCH Model, Econometric Theory 19, 278-308.
    • (2003) Econometric Theory , vol.19 , pp. 278-308
    • Ling, S.1    McAleer, M.2
  • 26
    • 1042302548 scopus 로고    scopus 로고
    • Estimation and Testing Stationarity for Double-autoregressive Models
    • Ling, S. (2004), Estimation and Testing Stationarity for Double-autoregressive Models, Journal of the Royal Statistical Society Series B 66, 1, 63-78.
    • (2004) Journal of the Royal Statistical Society Series B , vol.66 , Issue.1 , pp. 63-78
    • Ling, S.1
  • 27
    • 0031505937 scopus 로고    scopus 로고
    • An Asymptotic Expansion in the GARCH(1,1) Model
    • Linton, O. (1997), An Asymptotic Expansion in the GARCH(1,1) Model, Econometric Theory 13, 558-581.
    • (1997) Econometric Theory , vol.13 , pp. 558-581
    • Linton, O.1
  • 28
    • 84977723797 scopus 로고
    • Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model
    • Longstaff, F. A. and E. S. Schwartz (1992), Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model, Journal of Finance XLVII, 4, 1259-1282.
    • (1992) Journal of Finance , vol.47 , Issue.4 , pp. 1259-1282
    • Longstaff, F.A.1    Schwartz, E.S.2
  • 29
    • 21844511185 scopus 로고
    • Finite Sample Properties of the Maximum Likelihood Estimator in GARCH(1,1) and IGARCH(1,1) Models: A Monte Carlo Investigation
    • Lumsdaine, R. L. (1995), Finite Sample Properties of the Maximum Likelihood Estimator in GARCH(1,1) and IGARCH(1,1) Models: A Monte Carlo Investigation, Journal of Business and Economic Statistics 13, 1, 1-10.
    • (1995) Journal of Business and Economic Statistics , vol.13 , Issue.1 , pp. 1-10
    • Lumsdaine, R.L.1
  • 30
    • 0030364024 scopus 로고    scopus 로고
    • Asymptotic Properties of the Maximum Likelihood Estimator in GARCH(1,1) and IGARCH(1,1) Models
    • 3
    • Lumsdaine, R. L. (1996), Asymptotic Properties of the Maximum Likelihood Estimator in GARCH(1,1) and IGARCH(1,1) Models, Economet-rica 64, 3, 575-596.
    • (1996) Economet-rica , vol.64 , pp. 575-596
    • Lumsdaine, R.L.1
  • 32
    • 0000782256 scopus 로고
    • The Bias and Moment Matrix of the General k-class Estimators of the Parameters in Simultaneous Equations
    • Nagar, A. L. (1959), The Bias and Moment Matrix of the General k-class Estimators of the Parameters in Simultaneous Equations, Econometrica 27, 575-95.
    • (1959) Econometrica , vol.27 , pp. 575-595
    • Nagar, A.L.1
  • 33
    • 0012899343 scopus 로고    scopus 로고
    • Asymptotic Bias for Quasi-Maximum-Likelihood Estimators in Conditional Heteroskedastic-ity Models
    • Newey, W. K. and D. G. Steigerwald (1997), Asymptotic Bias for Quasi-Maximum-Likelihood Estimators in Conditional Heteroskedastic-ity Models, Econometrica 65, 3, 587-599.
    • (1997) Econometrica , vol.65 , Issue.3 , pp. 587-599
    • Newey, W.K.1    Steigerwald, D.G.2
  • 34
    • 77956888124 scopus 로고
    • Testing for a Unit Root in Time Series Regression
    • Phillips, P. C. B. and P. Perron (1988), Testing for a Unit Root in Time Series Regression, Biometrika 75, 335-46.
    • (1988) Biometrika , vol.75 , pp. 335-346
    • Phillips, P.C.B.1    Perron, P.2
  • 35
    • 85100687359 scopus 로고    scopus 로고
    • Second Edition, Wiley-Interscience, Probability and Statistics
    • Tsay, R. S. (2005), Analysis of Financial Time Series, Second Edition, Wiley-Interscience 2005, Probability and Statistics.
    • (2005) Analysis of Financial Time Series
    • Tsay, R.S.1
  • 36
    • 84986767536 scopus 로고
    • ARMA Models with ARCH Errors
    • Weiss, A. A. (1984), ARMA Models with ARCH Errors, Journal of Time Series Analysis 5, 2, 129-143.
    • (1984) Journal of Time Series Analysis , vol.5 , Issue.2 , pp. 129-143
    • Weiss, A.A.1
  • 37
    • 24944462048 scopus 로고
    • Asymptotic Theory for ARCH Models: Estimation and Testing
    • Weiss, A. A. (1986), Asymptotic Theory for ARCH Models: Estimation and Testing, Econometric Theory 2, 107-131.
    • (1986) Econometric Theory , vol.2 , pp. 107-131
    • Weiss, A.A.1


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