Reduced-Rank Regression: A Useful Determinant Identity
We derive an identity for the determinant of a product involving non-squared matrices. The identity can be used to derive the maximum likelihood estimator in reduced-rank regressions with Gaussian innovations. Furthermore, the identity sheds light on the structure of the estimation problem that arises when the reduced-rank parameters are subject to additional constraints.
References listed on IDEAS
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- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
- Hansen, Peter Reinhard, 2003.
"Structural changes in the cointegrated vector autoregressive model,"
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Elsevier, vol. 114(2), pages 261-295, June.
- Peter Reinhard Hansen, 2000. "Structural Changes in the Cointegrated Vector Autoregressive Model," Working Papers 2000-20, Brown University, Department of Economics.
- Velu, Raja P. & Reinsel, Gregory C., 1987. "Reduced rank regression with autoregressive errors," Journal of Econometrics, Elsevier, vol. 35(2-3), pages 317-335, July.
- Izenman, Alan Julian, 1975. "Reduced-rank regression for the multivariate linear model," Journal of Multivariate Analysis, Elsevier, vol. 5(2), pages 248-264, June.
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- Johansen, Søren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244.
- Anderson, T. W., 2002. "Reduced rank regression in cointegrated models," Journal of Econometrics, Elsevier, vol. 106(2), pages 203-216, February.
- Hansen, Peter Reinhard & Johansen, Soren, 1998. "Workbook on Cointegration," OUP Catalogue, Oxford University Press, number 9780198776079, April. Full references (including those not matched with items on IDEAS)
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