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Consistency tests for heteroskedastic and risk models


  • Adián R. Pagan

    (University of Rochester)

  • Hernán Sabau

    (Operadora de Bolsa)


This paper considers a class of consistency tests for the specification of heteroskedastic and risk models. The tests are related to other procedures such as the conditional moment tests of Newey and Tauchen, Hausman's tests, White's tests, the variable addtion Lagrange multiplier tests of Engle and Pagan, and the residual analysis of Pagan and Hall. The power of the consistency tests in the presence of local departures is analyzed and the risk premia model of Engle, Lilien and Robins is re-assessed.

Suggested Citation

  • Adián R. Pagan & Hernán Sabau, 1992. "Consistency tests for heteroskedastic and risk models," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 7(1), pages 3-30.
  • Handle: RePEc:emx:esteco:v:7:y:1992:i:1:p:3-30

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    References listed on IDEAS

    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Domowitz, Ian & Hakkio, Craig S., 1985. "Conditional variance and the risk premium in the foreign exchange market," Journal of International Economics, Elsevier, vol. 19(1-2), pages 47-66, August.
    3. Robinson, P M, 1987. "Asymptotically Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form," Econometrica, Econometric Society, vol. 55(4), pages 875-891, July.
    4. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
    5. Adrián R. Pagan & Hernán Sabau, 1991. "On the inconsistency of the MLE in certain heteroskedastic regression models," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 6(2), pages 159-172.
    6. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    7. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    8. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    Cited by:

    1. Pagan, Adrian R. & Schwert, G. William, 1990. "Alternative models for conditional stock volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 267-290.
    2. Lim, G.C., 2005. "Currency risk in excess equity returns: a multi time-varying beta approach," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(3), pages 189-207, July.
    3. Athanassiou, Emmanuel & Kollias, Christos & Syriopoulos, Theodore, 2006. "Dynamic volatility and external security related shocks: The case of the Athens Stock Exchange," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(5), pages 411-424, December.
    4. Torben G. Andersen & Tim Bollerslev, 1997. "Answering the Critics: Yes, ARCH Models Do Provide Good Volatility Forecasts," NBER Working Papers 6023, National Bureau of Economic Research, Inc.
    5. Dean, Warren G. & Faff, Robert W. & Loudon, Geoffrey F., 2010. "Asymmetry in return and volatility spillover between equity and bond markets in Australia," Pacific-Basin Finance Journal, Elsevier, vol. 18(3), pages 272-289, June.
    6. Ólan T. Henry & Michael McKenzie, 2006. "The Impact of Short Selling on the Price-Volume Relationship: Evidence from Hong Kong," The Journal of Business, University of Chicago Press, vol. 79(2), pages 671-692, March.
    7. Ólan T. Henry & Nilss Olekalns, 2002. "The Effect of Recessions on the Relationship between Output Variability and Growth," Southern Economic Journal, Southern Economic Association, vol. 68(3), pages 683-692, January.
    8. Pagan, Adrian, 1996. "The econometrics of financial markets," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 15-102, May.
    9. Paul D. McNelis & Carrie K.C. Chan, 2004. "Deflationary Dynamics in Hong Kong: Evidence from Linear and Neural Network Regime Switching Models," Working Papers 212004, Hong Kong Institute for Monetary Research.
    10. Apergis, Nicholas, 2004. "Inflation, output growth, volatility and causality: evidence from panel data and the G7 countries," Economics Letters, Elsevier, vol. 83(2), pages 185-191, May.

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