Tests of rank

Econometric Theory

Volumn 16, Issue 2, 2000, Pages 151-175

  Robin, Jean Marc ^a   Smith, Richard J ^b  

^a CREST   (France)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17944376219     PISSN: 02664666     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0266466600162012     Document Type: Article

References (29)

1. Anderson, T.W. (1951) The asymptotic distribution of certain characteristic roots and vectors. In J. Neyman (ed.), Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, pp. 103-130. Berkeley: University of California Press.
2. Andrews, D.W.K. (1987) Asymptotic results for generalized Wald tests. Econometric Theory 3, 348-358.
3. Bauer, P., B.M. Pötscher, & P. Hackl (1988) Model selection by multiple tests. Statistics 19, 39-44.
4. Blundell, R.W. & J.-M. Robin (1997a) Estimation in Large and Disaggregated Systems: An Estimator for Conditionally Linear Systems. Discussion paper 97-2, University College, London.
5. Blundell, R.W. & J.-M. Robin (1997b) Latent Separability: Grouping Goods without Weak Separability. Mimeo, University College, London.
6. Chao, J.C. & P.C.B. Phillips (1999) Model selection in partially nonstationary vector autoregressive processes with reduced rank structure. Journal of Econometrics 91, 227-271.
7. Cragg, J.G. & S.O. Donald (1993) Testing identifiability and specification in instrumental variable models. Econometric Theory 9, 222-240.
8. Cragg, J.G. & S.G. Donald (1996) On the asymptotic properties of LDU-based tests of the rank of a matrix. Journal of the American Statistical Association 91, 1301-1309.
9. Cragg, J.G. & S.G. Donald (1997) Inferring the rank of a matrix. Journal of Econometrics 76, 223-250.
10. 2 random variables. Applied Statistics, Series C 29, 323-333.
11. Deaton, A.S. & J. Muellbauer (1980) An almost ideal demand system. American Economic Review 70, 312-336.
12. Farebrother, R.W.F. (1980) Pan's procedure for the tail probabilities of the Durbin-Watson statistic. Applied Statistics, Series C 29, 224-227; 30, 189.
13. Farebrother, R.W.F. (1980) Pan's procedure for the tail probabilities of the Durbin-Watson statistic. Applied Statistics, Series C 29, 224-227; 30, 189.
14. Farebrother, R.W.F. (1984) Remark on Pan's procedure for the tail probabilities of the DurbinWatson statistic. Applied Statistics, Series C 33, 363-366.
15. Ferguson, T. (1958) A method of generating best asymptotically normal estimates with application to the estimation of bacterial densities. Annals of Mathematical Statistics 29, 1046-1061.
16. Gill, L. & A. Lewbel (1992) Testing the rank and defmiteness of estimated matrices with applications to factor, state-space, and ARMA models. Journal of the American Statistical Association 87, 766-776.
17. Gouriéroux, C., A. Monfort, & A. Trognon (1985) Moindres carres asymptotiques, Annales de l'INSEE 58, 91-122.
18. Hsiao, C. (1983) Identification. In Z. Griliches and M.D. Intrilligator (eds.), Handbook of Econometrics, vol. 1, pp. 223-283. Amsterdam: North-Holland.
19. Hsiao, C. (1986) Analysis of Panel Data. Econometric Society Monograph 11. New York: Cambridge University Press.
20. Johansen, S. (1991) Estimation and hypothesis testing of cointegration vectors in Gaussian vector autoregressive models. Econometrica 59, 1551-1580.
21. Lewbel, A. (1991) The rank of demand systems: Theory and nonparametric estimation. Econometrica 59, 711-730.
22. Magnus, J.R. & H. Neudecker (1980) The elimination matrix: Some lemmas and applications. SIAM Journal on Algebraic and Discrete Methods 1, 422-449.
23. Magnus, J.R. & H. Neudecker (1988) Matrix Differential Calculus with Applications in Statistics and Econometrics. New York: Wiley.
24. Phillips, P.C.B. (1996) Econometric model determination. Econometrica 64, 763-812.
25. Pötscher, B.M. (1983) Order estimation in ARMA models by Lagrange multiplier tests. Annals of Statistics 11, 872-885.
26. Rao, C.R. (1973) Linear Statistical Inference and Its Applications, 2nd ed. New York: Wiley.
27. Robin, J.-M. & R.J. Smith (1995) Tests of Rank. Document de travail 9505, CREST-INSEE, Paris, and D.A.E. working paper 9521, University of Cambridge.
28. Rothenberg, T.J. (1973) Efficient Estimation with a Priori Information. New Haven: Yale University Press.
29. Vuong, Q.H. (1989) Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica 57, 307-333.