Skip to main content

Identification

  • Chapter
Microeconometrics

Part of the book series: The New Palgrave Economics Collection ((NPHE))

Abstract

In economic analysis, we often assume that there exists an underlying structure which has generated the observations of real-world data. However, statistical inference can relate only to characteristics of the distribution of the observed variables. Statistical models which are used to explain the behaviour of observed data typically involve parameters, and statistical inference aims at making statements about these parameters. For that purpose, it is important that different values of a parameter of interest can be characterized in terms of the data distribution. Otherwise, the problem of drawing inferences about this parameter is plagued by a fundamental indeterminacy and can be viewed as ‘ill-posed’.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • Angrist, J.D. and Krueger, A.B. 1991. Does compulsory school attendance affect schooling and earning? Quarterly Journal of Economics 106, 979–1014.

    Article  Google Scholar 

  • Aström, K.J. and Eykhoff P. 1971. System identification — a survey. Automática7, 123–62.

    Article  Google Scholar 

  • Bailey, R.A., Gilchrist, F.H.L. and Patterson, H.D. 1977. Identification of effects and confounding patterns in factorial designs. Biometrika 64, 347–54.

    Article  Google Scholar 

  • Bekker, P. and Wansbeek, T. 2001. Identification in parametric models. In Companion to Theoretical Econometrics, ed. B. Baltagi. Oxford: Blackwell.

    Google Scholar 

  • Benkard, C.L. and Berry, S. 2006. On the nonparametric identification of nonlinear simultaneous equations models: comment on Brown (1983) and Roehrig (1988). Econometrica 74, 1429–40.

    Article  Google Scholar 

  • Bound, J., Jaeger, D.A. and Baker, R.M. 1995. Problems with instrumental variables estimation when the correlation between the instruments and the endogenous explanatory variable is weak. Journal of the American Statistical Association 90, 443–50.

    Google Scholar 

  • Brown, B.W. 1983. The identification problem in systems nonlinear in the variables. Econometrica 51, 175–96.

    Article  Google Scholar 

  • Buse, A. 1992. The bias of instrumental variables estimators. Econometrica 60, 173–80.

    Article  Google Scholar 

  • Deistler, M. and Seifert, H.-G. 1978. Identifiability and consistent estimability in econometric models. Econometrica 46, 969–80.

    Article  Google Scholar 

  • Drèze, J. 1975. Bayesian theory of identification in simultaneous equations models. In Studies in Bayesian Econometrics and Statistics, ed. S.E. Fienberg and A. Zellner. Amsterdam: North-Holland.

    Google Scholar 

  • Dufour, J.-M. 1997. Some impossibility theorems in econometrics, with applications to structural and dynamic models. Econometrica 65, 1365–89.

    Article  Google Scholar 

  • Dufour, J.-M. 2003. Identification, weak instruments and statistical inference in econometrics. Canadian Journal of Economics 36, 767–808.

    Article  Google Scholar 

  • Fienberg, S.E. and Zellner, A., eds. 1975. Studies in Bayesian Econometrics and Statistics. Amsterdam: North-Holland.

    Google Scholar 

  • Fisher, F.M. 1976. The Identification Problem in Econometrics. Huntington, NY: Krieger.

    Google Scholar 

  • Frisch, R. 1934. Statistical Confluence Analysis by Means of Complete Regression Systems. Oslo: Universitetes Okonomiske Institutt.

    Google Scholar 

  • Gabrielson, A. 1978. Consistency and identifiability. Journal of Econometrics 8, 261–3.

    Article  Google Scholar 

  • Griliches, Z. and Intriligator, M.D., eds. 1983. Handbook of Econometrics, vol. 1, Amsterdam: North-Holland.

    Google Scholar 

  • Haavelmo, T. 1944. The probability approach in econometrics. Econometrica 12(Supp.), 1–115.

    Article  Google Scholar 

  • Hannan, E.J. 1971. The identification problem for multiple equation systems with moving average errors. Econometrica 39, 751–66.

    Article  Google Scholar 

  • Hatanaka, M. 1975. On the global identification of the dynamic simultaneous equations model with stationary disturbances. International Economic Review 16, 545–54.

    Article  Google Scholar 

  • Hausman, J.A. and Taylor, W.E. 1983. Identification, estimation and testing in simultaneous equations models with disturbance covariance restriction. Econometrica 51, 1527–49.

    Article  Google Scholar 

  • Heckman, J. and Robb, R. 1985. Alternative methods for evaluating the impact of interventions. In Longitudinal Analysis of Labor Market Data, ed. J. Heckman and B. Singer. New York: Cambridge University Press.

    Chapter  Google Scholar 

  • Heckman, J.J. and Vytlacil, E. 1999. Local instrumental variables and latent variables models for identifying and bounding treatment effects. Proceedings of the National Academy of Sciences 96, 4730–4.

    Article  Google Scholar 

  • Heckman, J.J. and Vytlacil, E. 2001. Local instrumental variables. In Nonlinear Statistical Modeling Proceedings of the Thirteenth International Symposium in Economic Theory and Econometrics: Essays in Honor of Takeshi Amemiya, ed. C. Hsiao, K. Morimune and J.L. Powell. Cambridge: Cambridge University Press.

    Google Scholar 

  • Hillier, G.H. 1990. On the normalization of structural equations: properties of direction estimators. Econometrica 58, 1181–94.

    Article  Google Scholar 

  • Hsiao, C. 1983. Identification. In Handbook of Econometrics, vol. 1, ed. Z. Griliches and M.D. Intriligator. Amsterdam: North-Holland.

    Google Scholar 

  • Hurwicz, L. 1950. Generalization of the concept of identification. In Statistical Inference in Dynamic Economic Models, ed. T.C. Koopmans. New York: Wiley.

    Google Scholar 

  • Imbens, G. and Angrist, J. 1994. Identification and estimation of local average treatment effects. Econometrica 62, 467–76.

    Article  Google Scholar 

  • Kadane, J.B. 1975. The role of identification in Bayesian theory. In Studies in Bayesian Econometrics and Statistics, ed. S.E. Fienberg and A. Zellner. Amsterdam: North-Holland.

    Google Scholar 

  • Kempthorne, O. 1947. A simple approach to confounding and factorial replication in factorial experiments. Biometrika 34, 255–72.

    Article  Google Scholar 

  • Koopmans, T.C. 1950. Statistical Inference in Dynamic Economic Models. New York: Wiley.

    Google Scholar 

  • Koopmans, T.C. and Reiersol, O. 1950. The identification of structural characteristics. Annals of Mathematical Statistics 21, 165–81.

    Article  Google Scholar 

  • Koopmans, T.C, Rubin, H. and Leipnik, R.B. 1950. Measuring the equation systems of dynamic economics. In Statistical Inference in Dynamic Economic Models, ed. T.C. Koopmans. New York: Wiley.

    Google Scholar 

  • Le Cam, L. 1956. On the asymptotic theory of estimation and testing hypotheses. In Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability. Berkeley, CA: University of California Press.

    Google Scholar 

  • Liu, T.C. 1960. Underidentification, structural estimation, and forecasting. Econometrica 28, 855–65.

    Article  Google Scholar 

  • Manski, C. 2003. Partial Identification of Probability Distributions. New York: Springer.

    Google Scholar 

  • Marschak, J. 1942. Economic interdependence and statistical analysis. In Studies in Mathematical Economics and Econometrics, ed. O. Lange, F. Mclntyre and T.O. Yntema. Chicago: University of Chicago Press.

    Google Scholar 

  • Mas-Collel, A. 1977. On the recoverability of consumers preferences from market demand behavior. Econometrica 45, 1409–30.

    Article  Google Scholar 

  • Matzkin, R. 1994. Restrictions of economic theory in nonparametric methods. In Handbook of Econometrics, vol. 4, ed. R.F. Engle and D.L. McFadden. Amsterdam: North-Holland.

    Google Scholar 

  • Matzkin, R. 2007. Nonparametric Identification. In Handbook of Econometrics, vol. 6, ed. J. Heckman and E. Learner. Amsterdam: North-Holland.

    Google Scholar 

  • McManus, D.A. 1992. How common is identification in parametric models? Journal of Econometrics 53, 5–23.

    Article  Google Scholar 

  • Morgan, M.S. 1990. The History of Econometric Ideas. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Nelson, C.R. and Startz, R. 1990. The distribution of the instrumental variable estimator and its t-ratio when the instrument is a poor one. Journal of Business 63, 125–40.

    Article  Google Scholar 

  • Phillips, P.C.B. 1983. Exact small sample theory in the simultaneous equations model. In Handbook of Econometrics, vol. 1, ed. Z. Griliches and M.D. Intriligator. Amsterdam: North-Holland.

    Google Scholar 

  • Phillips, P.C.B. 1989. Partially identified econometric models. Econometric Theory 5, 181–240.

    Article  Google Scholar 

  • Prakasa Rao, B.L.S. 1992. Identifiability in Stochastic Models: Characterization of Probability Distributions. New York: Academic Press.

    Google Scholar 

  • Rao, C.R. 1962. Problems of selection with restriction. Journal of the Royal Statistical Society, Series B 24, 401–5.

    Google Scholar 

  • Rao, C.R. 1973. Linear Statistical Inference and its Applications, 2nd edn. New York: Wiley.

    Book  Google Scholar 

  • Roehrig, CS. 1988. Conditions for identification in nonparametric and parametric models. Econometrica 56, 433–77.

    Article  Google Scholar 

  • Rosenbaum, P. and Rubin, D. 1985. Reducing bias in observational studies using subclassification on the propensity score. Journal of the American Statistical Association 79, 516–24.

    Article  Google Scholar 

  • Rothenberg, T.J. 1971. Identification in parametric models. Econometrica 39, 577–91.

    Article  Google Scholar 

  • Rothenberg, T.J. 1984. Approximating the distributions of econometric estimators and test statistics. In Handbook of Econometrics, vol. 2, ed. Z. Griliches and M.D. Intriligator. Amsterdam: North-Holland.

    Google Scholar 

  • Sargan, J.D. 1983. Identification and lack of identification. Econometrica 51, 1605–33.

    Article  Google Scholar 

  • Sims, C. 1980. Macroeconomics and reality. Econometrica 48, 1—48.

    Article  Google Scholar 

  • Staiger, D. and Stock, J.H. 1997. Instrumental variables regression with weak instruments. Econometrica 65, 557–86.

    Article  Google Scholar 

  • Stock, J.H. and Trebbi, F. 2003. Who invented IV regression? Journal of Economic Perspectives 17(3), 177–94.

    Article  Google Scholar 

  • Stock, J.H., Wright, J.H. and Yogo, M. 2002. A survey of weak instruments and weak identification in generalized method of moments. Journal of Business and Economic Statistics 20, 518–29.

    Article  Google Scholar 

  • Wald, A. 1950. Note on the identification of economic relations. In Statistical Inference in Dynamic Economic Models, ed. T.C. Koopmans. New York: Wiley.

    Google Scholar 

  • Working, E.J. 1927. What do statistical demand curves show? Quarterly Journal of Economics 41, 212–35.

    Article  Google Scholar 

  • Working, H. 1925. The statistical determination of demand curves. Quarterly Journal of Economics 39, 503–43.

    Article  Google Scholar 

  • Wright, P.G. 1915. Moore’s economic cycles. Quarterly Journal of Economics 29, 631–41.

    Article  Google Scholar 

  • Wright, P.G. 1928. The Tariff on Animal and Vegetable Oils. New York: Macmillan.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Copyright information

© 2010 Palgrave Macmillan, a division of Macmillan Publishers Limited

About this chapter

Cite this chapter

Dufour, JM., Hsiao, C. (2010). Identification. In: Durlauf, S.N., Blume, L.E. (eds) Microeconometrics. The New Palgrave Economics Collection. Palgrave Macmillan, London. https://doi.org/10.1057/9780230280816_11

Download citation

Publish with us

Policies and ethics