Covariances for smoothed estimates in state space models

Piet De Jong*, Murray J. Mackinnon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)


Ansley & Kohn (1982) presented a novel proof of the fixed interval smoothing algorithm for state space models. In this note the ideas of their proof are used to provide a new formula for the covariance between smoothed estimates at any two points in time. This equation is substantially simpler than existing special cases.

Original languageEnglish
Pages (from-to)601-602
Number of pages2
Issue number3
Publication statusPublished - Sept 1988
Externally publishedYes


  • Kalman filter
  • Smoothing
  • State space model


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