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Original Articles

The ARCH(2) model: Pseudo-maximum estimation and asymptotic results under dependent innovations

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Pages 2146-2171 | Received 25 Sep 2016, Accepted 25 May 2017, Published online: 11 Oct 2017

References

  • Aguirregabiria, V. 2004. Pseudo-maximum likelihood estimation of structural models involving fixed point problems. Economics Letters 84 (3):335–40.
  • Berkes, I., L. Horvath, and P. Kokoszka. 2003. GARCH processes: Structure and estimation. Bernoulli 9 (2):201–27.
  • Burguete, J., R. Gallant, and G. Souza. 1982. On unification of the asymptotic theory of nonlinear econometric models. Econometric Reviews 1:151–90.
  • Chen, R., and O. Hymen. 2011. Quasi and pseudo maximum likelihood estimators for discretely observed continuous time Markov branching processes. Journal of Statistical Planning and Inference 141 (7):2209–27.
  • Doob, J. L. 1990. Stochastic processes. New York, NY: John Wiley & Sons, Inc.
  • Gourieroux, C., A. Monfort, and A. Trognon. 1984a. Pseudo-maximum likelihood methods: Theory. Econometrica 52 (3):681–700.
  • Gourieroux, C., A. Monfort, and A. Trognon. 1984b. Pseudo-maximum likelihood methods: Applications to Poisson models. Econometrica 52 (3):701–720.
  • Hayashi, F. 2000. Econometrics. USA: Princeton University Press.
  • Jensen, S. T., and A. Rahbek. 2004a. Asymptotic inference for nonstationary GARCH. Econometric Theory 20 (6):1203–26.
  • Jensen, S. T., and A. Rahbek. 2004b. Asymptotic normality of the QMLE estimator of ARCH in the nonstationary case. Econometrica 72 (2):641–46.
  • Jin, S., F. Yang-Wallentin, and A. Christoffersson. 2015. Asymptotic efficiency of the pseudo-maximum likelihood estimator in multi-group factor models with pooled data. British Journal of Mathematical and Statistical Psychology 69 (11):20–42.
  • Lee, S.-W., and B. E. Hansen. 1994. Asymptotic theory for the GARCH (1,1) quasi–maximum likelihood estimator. Econometric Theory 10 (1):29–52.
  • Lumsdaine, R. L. 1991. Asymptotic properties of the quasi-maximum likelihood estimator in GARCH(1,1) and IGARCH(1,1) models. Dissertation, Princeton University.
  • Royden, H. L. 1968. Real analysis, 2nd ed. New York: MacMillan Publishing co, Inc.
  • Stout, W. F. 1974. Almost sure convergence. London: Academic Press, Inc.

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