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On weak identification in structural VARMA models

Wenying Yao, Timothy Kam and Farshid Vahid

Economics Letters, 2017, vol. 156, issue C, 1-6

Abstract: We simulate synthetic data from known data generating processes (DGPs) that arise from economic theory, and compare the performance of fitted VAR and VARMA models in estimating the true impulse responses to structural shocks. We show that while the VARMA structures implied by these DGPs are theoretically identified and lead to precise estimates of impulse responses given enough data, their parameters are close to the non-identified ridge in the parameter space, and that makes precise estimation of the impulse responses in small samples typical of macroeconomic data improbable. As a result, VARMA models barely show any advantage over VARs in characterizing the known DGPs in small samples. This is a refinement of the conjecture that near non-stationarity, near non-invertibility or weak identification could be possible reasons for the failure of structural VARMA models in providing good estimates of theoretical impulse responses of particular DSGE models.

Keywords: VARMA; VAR; DSGE; Impulse response analysis (search for similar items in EconPapers)
JEL-codes: C15 C32 C52 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:156:y:2017:i:c:p:1-6

DOI: 10.1016/j.econlet.2017.03.035

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