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Posterior Moments Computed By Mixed Integration

Author

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  • van Dijk, H. K.
  • Kloek, T.

Abstract

A flexible numerical integration method is proposed for the computation of moments of a multivariate posterior density with different tail properties in different directions. The method (called mixed integration) amounts to a combination of classical numerical integration and Monte Carlo integration. Mixed integration is parsimonious in the sense that the method makes use of the same parameters as the more restrictive multivariate normal importance function.

Suggested Citation

  • van Dijk, H. K. & Kloek, T., 1983. "Posterior Moments Computed By Mixed Integration," Econometric Institute Archives 272277, Erasmus University Rotterdam.
    • Handle: RePEc:ags:eureia:272277
    DOI: 10.22004/ag.econ.272277
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    References listed on IDEAS

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    1. Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January.
    2. van Dijk, H. K. & Kloek, T., 1980. "Further experience in Bayesian analysis using Monte Carlo integration," Journal of Econometrics, Elsevier, vol. 14(3), pages 307-328, December.
    3. van Dijk, H. K. & Kloek, T., 1982. "Posterior Moments Of The Klein-Goldberger Model," Econometric Institute Archives 272269, Erasmus University Rotterdam.
    4. Lootsma, F. A., 1980. "Saaty's priority theory and the nomination of a senior professor in operations Research," European Journal of Operational Research, Elsevier, vol. 4(6), pages 380-388, June.
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    2. Denis Fougère & Thierry Kamionka, 2003. "Bayesian inference for the mover-stayer model in continuous time with an application to labour market transition data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(6), pages 697-723.
    3. Bauwens, L. & Bos, C.S. & van Dijk, H.K., 1998. "Adaptive polar sampling: a new MC technique for the analysis of ill behaved surfaces," Econometric Institute Research Papers EI 9822, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. van Dijk, H. K. & Hop, J. P. & Louter, A. S., 1986. "An Algorithm For The Computation Of Posterior Moments And Densities Using Simple Importance Sampling," Econometric Institute Archives 272354, Erasmus University Rotterdam.
    5. Hop, J. P. & van Duk, H. K., 1990. "Two Algorithms For The Computation Of Posterior Moments And Densities Using Monte Carlo Integration," Econometric Institute Archives 272483, Erasmus University Rotterdam.
    6. BAUWENS, Luc & BOS, Charles S. & VAN DIJK, Herman K., 1999. "Adaptive polar sampling with an application to a Bayes measure of value-at-risk," LIDAM Discussion Papers CORE 1999057, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. VAN DIJK, Herman K., 1987. "Some advances in Bayesian estimations methods using Monte Carlo Integration," LIDAM Reprints CORE 783, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. H. K. Van Dijk, 1999. "Some remarks on the simulation revolution in bayesian econometric inference," Econometric Reviews, Taylor & Francis Journals, vol. 18(1), pages 105-112.
    9. HOOGERHEIDE, Lennart F. & VAN DIJK, Herman K. & VAN OEST, Rutger D., 2007. "Simulation based Bayesian econometric inference: principles and some recent computational advances," LIDAM Discussion Papers CORE 2007015, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Bauwens, L. & Bos, C.S. & van Dijk, H.K. & van Oest, R.D., 2003. "Explaining Adaptive Radial-Based Direction Sampling," Econometric Institute Research Papers EI 2003-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Kooiman, Peter & Van Dijk, Herman K. & Thurik, A. Roy, 1985. "Likelihood diagnostics and Bayesian analysis of a micro-economic disequilibrium model for retail services," Journal of Econometrics, Elsevier, vol. 29(1-2), pages 121-148.
    12. Bauwens, Luc & Bos, Charles S. & van Dijk, Herman K. & van Oest, Rutger D., 2004. "Adaptive radial-based direction sampling: some flexible and robust Monte Carlo integration methods," Journal of Econometrics, Elsevier, vol. 123(2), pages 201-225, December.
    13. Vijverberg, Wim P. M., 1997. "Monte Carlo evaluation of multivariate normal probabilities," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 281-307.

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