State correlation and forecasting : a Bayesian approach using unobserved components models / by Luis Uzeda.: FB3-5/2018-14E-PDF

“Implications for signal extraction from specifying unobserved components (UC) models with correlated or orthogonal innovations have been well investigated. In contrast, the forecasting implications of specifying UC models with different state correlation structures are less well understood. This paper attempts to address this gap in light of the recent resurgence of studies adopting UC models for forecasting purposes. Four correlation structures for errors are entertained: orthogonal, correlated, perfectly correlated innovations, and a new approach that combines features from two contrasting cases, namely, orthogonal and perfectly correlated innovations. Parameter space restrictions associated with different correlation structures and their connection with forecasting are discussed within a Bayesian framework. As perfectly correlated innovations reduce the covariance matrix rank, a Markov Chain Monte Carlo sampler, which builds upon properties of Toeplitz matrices and recent advances in precision-based algorithms, is developed. Our results for several measures of U.S. inflation indicate that the correlation structure between state variables has important implications for forecasting performance as well as estimates of trend inflation"--Abstract, p. ii.

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Publication information
Department/Agency Bank of Canada.
Title State correlation and forecasting : a Bayesian approach using unobserved components models / by Luis Uzeda.
Series title Bank of Canada staff working paper, 1701-9397 ; 2018-14
Publication type Series - View Master Record
Language [English]
Format Electronic
Electronic document
Note(s) "March 2018."
Includes bibliographical references.
Includes abstract in French.
Publishing information [Ottawa] : Bank of Canada, 2018.
Author / Contributor Uzeda, Luis.
Description ii, 54 p. : col. charts.
Catalogue number
  • FB3-5/2018-14E-PDF
Subject terms Inflation
Forecasting
Econometrics
Bayesian statistical decision theory
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