Testing for Instability in Covariance Structures

Chihwa Kao, Lorenzo Trapani () and Giovanni Urga

No 2016-33, Working papers from University of Connecticut, Department of Economics

Abstract: We propose a test for the stability over time of the covariance matrix of multivariate time series. The analysis is extended to the eigensystem to ascertain changes due to instability in the eigenvalues and/or eigenvectors. Using strong Invariance Principles and Law of Large Numbers, we normalise the CUSUM-type statistics to calculate their supremum over the whole sample. The power properties of the test versus alternative hypotheses, including also the case of breaks close to the beginning/end of sample are investigated theoretically and via simulation. We extend our theory to test for the stability of the covariance matrix of a multivariate regression model. The testing procedures are illustrated by studying the stability of the principal components of the term structure of 18 US interest rates. JEL Classification: Key words: Covariance Matrix, Eigensystem, Changepoint, CUSUM Statistic.

Pages: 61 pages
Date: 2016-08
New Economics Papers: this item is included in nep-ets
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Citations: View citations in EconPapers (5)

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Working Paper: Testing for Instability in Covariance Structures (2012)
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