Covariances for smoothed estimates in state space models

Piet De Jong; Murray J. Mackinnon

doi:10.1093/biomet/75.3.601

Covariances for smoothed estimates in state space models

Piet De Jong^*, Murray J. Mackinnon

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

61 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	601-602
Number of pages	2
Journal	Biometrika
Volume	75
Issue number	3
DOIs	https://doi.org/10.1093/biomet/75.3.601
Publication status	Published - Sept 1988
Externally published	Yes

Keywords

Kalman filter
Smoothing
State space model

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title = "Covariances for smoothed estimates in state space models",

abstract = "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.",

keywords = "Kalman filter, Smoothing, State space model",

author = "Jong, \{Piet De\} and Mackinnon, \{Murray J.\}",

year = "1988",

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AU - Mackinnon, Murray J.

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AB - 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.

KW - Kalman filter

KW - Smoothing

KW - State space model

UR - https://www.scopus.com/pages/publications/0043169189

U2 - 10.1093/biomet/75.3.601

DO - 10.1093/biomet/75.3.601

M3 - Article

AN - SCOPUS:0043169189

SN - 0006-3444

VL - 75

SP - 601

EP - 602

JO - Biometrika

JF - Biometrika

IS - 3

ER -

Covariances for smoothed estimates in state space models

Abstract

Keywords

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