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State Space Methods for Latent Trajectory and Parameter Estimation by Maximum Likelihood

In: Longitudinal Research with Latent Variables

Author

Listed:
  • Jacques J. F. Commandeur

    (VU University Amsterdam, Department of Econometrics)

  • Siem Jan Koopman

  • Kees van Montfort

Abstract

We review Kalman filter and related smoothing methods for the latent trajectory in multivariate time series. The latent effects in the model are modelled as vector unobserved components for which we assume particular dynamic stochastic processes. The parameters in the resulting multivariate unobserved components time series models will be estimated by maximum likelihood methods. Some essential details of the state space methodology are discussed in this chapter. An application in the modelling of traffic safety data is presented to illustrate the methodology in practice.

Suggested Citation

  • Jacques J. F. Commandeur & Siem Jan Koopman & Kees van Montfort, 2010. "State Space Methods for Latent Trajectory and Parameter Estimation by Maximum Likelihood," Springer Books, in: Kees van Montfort & Johan H.L. Oud & Albert Satorra (ed.), Longitudinal Research with Latent Variables, chapter 0, pages 177-199, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-11760-2_6
    DOI: 10.1007/978-3-642-11760-2_6
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