IngentaConnect Structural Time Series Models with Feedback Mechanisms

Authors: Guo, Wensheng¹; Brown, Morton B.²

Source: Biometrics, Volume 56, Number 3, September 2000 , pp. 686-691(6)

Abstract:

Summary.

Structural time series models have applications in many different fields such as biology, economics, and meteorology. A structural time series model can be represented as a state-space model where the states of the system represent the unobserved components and the structural parameters have clear interpretations. This paper introduces a class of structural time series models that incorporate feedback from the latent components of the history. An iterative procedure is proposed for estimation. These models allow flexible and robust feedback mechanisms, have clear interpretations, and have a computationally efficient estimation procedure. They are applied to hormone data to characterize hormone secretion and to explore a potential feedback mechanism.

Keywords: Conditionally Gaussian model; Feedback; Multiprocess dynamic linear model; Pulsatile time series; State-space model

Document Type: Research article

DOI: 10.1111/j.0006-341X.2000.00686.x

Affiliations: 1: Department of Biostatistics and Epidemiology, University of Pennsylvania, Philadelphia, Pennsylvania 19104, U.S.A., Email: wguo@cceb.upenn.edu 2: Department of Biostatistics, University of Michigan, Ann Arbor, Michigan 48109-2029, U.S.A.

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