Arbeitspapier
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[...] , the square root of Σ.
- Sprache
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Englisch
- Erschienen in
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Series: Cardiff Economics Working Papers ; No. E2008/10
- Klassifikation
-
Wirtschaft
Econometrics
- Thema
-
Variance decomposition
Cholesky decomposition
unique orthogonal decomposition and square root matrix
Varianzanalyse
Statistische Methode
- Ereignis
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Geistige Schöpfung
- (wer)
-
Wong, Woon K.
- Ereignis
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Veröffentlichung
- (wer)
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Cardiff University, Cardiff Business School
- (wo)
-
Cardiff
- (wann)
-
2008
- Handle
- Letzte Aktualisierung
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10.03.2025, 11:44 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Wong, Woon K.
- Cardiff University, Cardiff Business School
Entstanden
- 2008