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2004 | 6 | 25--36
Tytuł artykułu

Bayesian Comparison of Bivariate GARCH Processes in the Presence of an Exogenous Variable

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we assume that this approximate relation (in log terms) is a cointegration equation in the sense of Engle and Granger (1987) and that the DEM/USD rate is weakly exogenous in the Bayesian sense of Florens and Mouchart (1985) and Osiewalski and Steel (1996). We build a two-equation conditional model with the error correction mechanism (ECM) and the disturbances following one of the competing bivariate GARCH specifications. The aim of the paper is to check sensitivity of our Bayesian model comparison with respect to the presence of the third (exogenous) exchange rate.(fragment of text)
Rocznik
Tom
6
Strony
25--36
Opis fizyczny
Twórcy
  • Cracow University of Economics, Poland
  • Cracow University of Economics, Poland
Bibliografia
  • Baba, Y., Engle, R.F., Kraft, D., Kroner, K. (1989), Multivariate Simultaneous Generalised ARCH, manuscript, Department of Economics, University of California at San Diego.
  • Bauwens, L., Lubrano, M. (1998), Bayesian Inference on GARCH Models Using the Gibbs Sampler, Econometrics Journal, 1, C23-C46.
  • Bauwens, L., Lubrano, M., Richard, J.-F. (1999), Bayesian Inference In Dynamic Econometric Models, Oxford University Press, Oxford.
  • Bollerslev, T. (1986), Generalised Autoregressive Conditional Heteroskedasticity, Journal of Econometrics, 31, 307-327.
  • Bollerslev, T. (1990), Modelling the Coherence in Short-run Nominal Exchange Rates; A Multivariate Generalised ARCH Model, Review of Economics and Statistics, 72, 498-505.
  • Bos, Ch.S., Mahieu, R.J., Van Dijk, H.K. (2000), Daily Exchange Rate Behaviour and Hedging of Currency Risk, Journal of Applied Econometrics, 15, 671-696.
  • Diebold, F., Nerlove, M. (1989), The Dynamic of Exchange Rate Volatility: A Multivariate Latent Factor ARCH Model, Journal of Applied Econometrics, 4, 1-22.
  • Engle, R.F. (1982), Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation, Econometrica, 50, 987-1007.
  • Engle, R.F., Granger, C.W.J. (1987), Co-integration and Error Correction: Representation, Estimation and Testing, Econometrica, 55, 251-276.
  • Engle, R. F., Kroner, K. F. (1995), Multivariate Simultaneous Generalised ARCH, Econometric Theory, 11, 122-150.
  • Florens, J.-P., Mouchart, M. (1985), Conditioning in Dynamic Models, Journal of Time Series Analysis, 6, 15-34.
  • Gamerman, D. (1997), Markov Chain Monte Carlo. Stochastic Simulation for Bayesian Inference, Chapman and Hall, London.
  • Geweke, J. (1989), Exact Predictive Densities for Linear Models with ARCH Disturbances, Journal of Econometrics, 40, 63-86.
  • Gourieroux, C. (1997), ARCH Models and Financial Applications, Springer, New York.
  • King, M., Sentana, E., Wadhwani, S. (1994), Volatility and Links Between National Stock Markets, Econometrica, 62, 901-934.
  • Kleibergen, F., Van Dijk, H.K. (1993), Non-stationarity in GARCH Models: A Bayesian Analysis, Journal of Applied Econometrics, 8, S41-S61.
  • Newton, M. A., Raftery, A. E. (1994), Approximate Bayesian Inference by the Weigh-ted Likelihood Bootstrap (with discussion), Journal of the Royal Statistical Society B, 56, 3-48.
  • O'Hagan, A. (1994), Bayesian Inference, Edward Arnold, London.
  • Osiewalski, J., Pipień, M. (1999), Bayesian Forecasting of Foreign Exchange Rates using GARCH Models with Skewed t Conditional Distributions, in: Welfe, W., ed., MACROMODELS'98 - Conference Proceedings, Vol. 2 (Absolwent, Łódź), 195-218.
  • Osiewalski, J., Pipień, M. (2000), GARCH-In-Mean Through Skewed t Conditional Distributions: Bayesian Inference for Exchange Rates, in: Welfe, W., Wdowiński, P., eds., MACROMODELS'99 - Conference Proceedings (Absolwent, Łódź), 354-369.
  • Osiewalski, J., Pipień, M. (2001), Multivariate t-GARCH Models - Bayesian Analysis for Exchange Rates, in: Welfe, W., ed., MACROMODELS'2000 - Conference Proceedings (Absolwent, Łódź), 128-148.
  • Osiewalski, J., Pipień, M. (2003), Bayesian Comparison of Bivariate ARCH-type Models for the Main Exchange Rates in Poland, Journal of Econometrics (forthcoming).
  • Osiewalski, J., Steel, M.F.J. (1996), A Bayesian Analysis of Exogeneity in Models Pooling Time-series and Cross-sectional Data, Journal of Statistical Planning and Inference 50, 187-206.
  • Vrontos, I.D., Dellaportas, P., Politis, D.N. (2000), Full Bayesian Inference for GARCH and EGARCH Models, Journal of Business and Economic Statistics, 18, 187-198.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171296585

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