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Diagnostic Checking for Weibull Autoregressive Conditional Duration Models

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Advances in Time Series Methods and Applications

Part of the book series: Fields Institute Communications ((FIC,volume 78))

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Abstract

We derive the asymptotic distribution of residual autocorrelations for the Weibull autoregressive conditional duration (ACD) model, and this leads to a portmanteau test for the adequacy of the fitted Weibull ACD model. The finite-sample performance of this test is evaluated by simulation experiments and a real data example is also reported.

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References

  1. Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31, 307–327.

    Article  MathSciNet  MATH  Google Scholar 

  2. Engle, R. F. (1982). Autoregression conditional heteroscedasticity with estimates of the variance of U.K. inflation. Econometrica, 50, 987–1008.

    Article  MathSciNet  MATH  Google Scholar 

  3. Engle, R. F., & Russell, J. R. (1998). Autoregressive conditional duration: A new model for irregularly spaced transaction data. Econometrica, 66, 1127–1162.

    Article  MathSciNet  MATH  Google Scholar 

  4. Francq, C., & Zakoian, J. M. (2004). Maximum likelihood estimation of pure GARCH and ARMA-GARCH processes. Bernoulli, 10, 605–637.

    Article  MathSciNet  MATH  Google Scholar 

  5. Li, W. K., & Mak, T. K. (1994). On the squared residual autocorrelations in non-linear time series with conditoinal heteroskedasticity. Journal of Time Series Analysis, 15, 627–636.

    Article  MathSciNet  MATH  Google Scholar 

  6. Li, W. K., & Yu, P. L. H. (2003). On the residual autocorrelation of the autoregressive conditional duration model. Economic Letters, 79, 169–175.

    Article  MathSciNet  MATH  Google Scholar 

  7. Ljung, G. M., & Box, G. E. P. (1978). On a measure of lack of fit in time series models. Biometrika, 65, 297–303.

    Article  MATH  Google Scholar 

  8. McLeod, A. I., & Li, W. K. (1983). Diagnostic checking ARMA time series models using squared residual autocorrelations. Journal of Time Series Analysis, 4, 269–273.

    Article  MathSciNet  MATH  Google Scholar 

  9. Tsay, R. S. (2010). Analysis of financial time series (3rd ed.). New York: Wiley.

    Book  MATH  Google Scholar 

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Acknowledgements

We are grateful to the co-editor and two anonymous referees for their valuable comments and constructive suggestions that led to the substantial improvement of this paper.

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Correspondence to Yao Zheng .

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© 2016 Springer Science+Business Media New York

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Zheng, Y., Li, Y., Li, W.K., Li, G. (2016). Diagnostic Checking for Weibull Autoregressive Conditional Duration Models. In: Li, W., Stanford, D., Yu, H. (eds) Advances in Time Series Methods and Applications . Fields Institute Communications, vol 78. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6568-7_4

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