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Finite-Sample Properties of Model Specification Tests for Multivariate Dynamic Regression Models

Koichiro Moriya, Akihiko Noda

arXiv 29 Jan 2026 · Econometrics

arXiv:2601.21272 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper proposes a new multivariate model specification test that generalizes Durbin regression to a seemingly unrelated regression framework and reframes the Durbin approach as a GLS-class estimator. The proposed estimator explicitly models cross-equation dependence and the joint second-order dynamics of regressors and disturbances. It remains consistent under a comparatively weak dependence condition in which conventional OLS- and GLS-based estimators can be inconsistent, and it is asymptotically efficient under stronger conditions. Monte Carlo experiments indicate that the associated Wald test achieves improved size control and competitive power in finite samples, especially when combined with a bootstrap-based bias correction. An empirical application further illustrates that the proposed procedure delivers stable inference and is practically useful for multi-equation specification testing.

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95
references
179
in-text mentions
95
distinct cited
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self-citations
26,760
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Fama, E. F. and French, K. R (1993) Common Risk Factors in the Returns on Stocks and Bonds1.000145100%
2Fama, E. F. and French, K. R (2015) A Five-Factor Asset Pricing Model1.000115100%
3Perron, P. and González-Coya, E (2026) Feasible GLS for Time Series Regression1.000103100%
4Baillie, R. T., Diebold, F. X., Kapetanios, G., Kim, K. H., and Mora… (2024) On Robust Inference in Time-Series Regression1.00093100%
5Fama, E. F. and French, K. R (2016) Dissecting Anomalies with a Five-Factor Model0.92844100%
6Fama, E. F. and French, K. R (2017) International Tests of a Five-Factor Asset Pricing Model0.92843100%
7Cakici, N., Fabozzi, F. J., and Tan, S (2013) Size, Value, and Momentum in Emerging Market Stock Returns0.84333100%
8Fama, E. F. and French, K. R (2018) Choosing Factors0.84333100%
9Fama, E. F. and French, K. R (2020) Comparing Cross-Section and Time-SeriesFactor Models0.84333100%
10Gibbons, M. R., Ross, S. A., and Shanken, J (1989) A Test of the Efficiency of a Given Portfolio0.81142100%

Showing the top 10 of 95 scored citations.