A Unique Orthogonal Variance Decomposition
Let e and Σ be respectively the vector of shocks and its variance covariance matrix in a linear system of equations in reduced form. This article shows that a unique orthogonal variance decomposition can be obtained if we impose a restriction that maximizes the trace of A, a positive definite matrix such that Az = e where z is vector of uncorrelated shocks with unit variance. Such a restriction is meaningful in that it associates the largest possible weight for each element in e with its corresponding element in z. It turns out that A = Σ 1/2 , the square root of Σ.
|Date of creation:||Apr 2008|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +44 (0) 29 20874417
Fax: +44 (0) 29 20874419
Web page: http://business.cardiff.ac.uk/research/academic-sections/economics/working-papers
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:cdf:wpaper:2008/10. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Bruce Webb)
If references are entirely missing, you can add them using this form.