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Two Stage and Related Estimators and Their Applications

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  • Adrian Pagan

Abstract

Applied econometric research frequently encounters the difficulty that estimation of the parameters of interest is complex owing to the presence of incidental parameters. It is tempting therefore to try to circumvent the difficulties by proceeding in two stages. In the first, some estimates are made of the incidental parameters. In the second, these estimates are treated as though they were population values, leading to a large reduction in the dimension of the unknown parameter space, possibly even down to that of the parameters of interest only. The properties of such a staged process (particularly as they relate to issues arising from the consistency and efficiency of the estimator and the provision of reliable inference), applications involving the presence of current and future anticipations, an alternative estimator, and diagnostic tests are all discussed in this paper.

Suggested Citation

  • Adrian Pagan, 1985. "Two Stage and Related Estimators and Their Applications," Cowles Foundation Discussion Papers 741, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:741
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    1. Long, James E & Jones, Ethel B, 1980. "Labor Force Entry and Exit by Married Womem: A Longitudinal Analysis," The Review of Economics and Statistics, MIT Press, vol. 62(1), pages 1-6, February.
    2. Sargent, Thomas J, 1976. "A Classical Macroeconometric Model for the United States," Journal of Political Economy, University of Chicago Press, vol. 84(2), pages 207-237, April.
    3. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    4. Engle, Robert F & Hendry, David F & Richard, Jean-Francois, 1983. "Exogeneity," Econometrica, Econometric Society, vol. 51(2), pages 277-304, March.
    5. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    6. Pudney, S. E., 1982. "The identification of rational expectations models under structural neutrality," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 117-121, November.
    7. Barro, Robert J, 1977. "Unanticipated Money Growth and Unemployment in the United States," American Economic Review, American Economic Association, vol. 67(2), pages 101-115, March.
    8. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    9. Davidson, Russell & MacKinnon, James G., 1984. "Convenient specification tests for logit and probit models," Journal of Econometrics, Elsevier, vol. 25(3), pages 241-262, July.
    10. Bloom, David E. & Killingsworth, Mark R., 1985. "Correcting for truncation bias caused by a latent truncation variable," Journal of Econometrics, Elsevier, vol. 27(1), pages 131-135, January.
    11. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    12. Sargent, Thomas J, 1978. "Estimation of Dynamic Labor Demand Schedules under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 1009-1044, December.
    13. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-959, July.
    14. Pagan, Adrian, 1984. "Econometric Issues in the Analysis of Regressions with Generated Regressors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 221-247, February.
    15. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    16. Mishkin, Frederic S, 1982. "Does Anticipated Monetary Policy Matter? An Econometric Investigation," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 22-51, February.
    17. M. R. Wickens, 1982. "The Efficient Estimation of Econometric Models with Rational Expectations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 55-67.
    18. Attfield, C. L. F., 1983. "An analysis of the implications of omitting variables from the monetary growth equation in a model of real output and unanticipated money growth," European Economic Review, Elsevier, vol. 23(3), pages 281-290, September.
    19. Newey, Whitney K., 1984. "A method of moments interpretation of sequential estimators," Economics Letters, Elsevier, vol. 14(2-3), pages 201-206.
    20. King, Maxwell L., 1985. "A point optimal test for autoregressive disturbances," Journal of Econometrics, Elsevier, vol. 27(1), pages 21-37, January.
    21. T. S. Breusch & A. R. Pagan, 1980. "The Lagrange Multiplier Test and its Applications to Model Specification in Econometrics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 239-253.
    22. Amemiya, Takeshi, 1978. "On a two-step estimation of a multivariate logit model," Journal of Econometrics, Elsevier, vol. 8(1), pages 13-21, August.
    23. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    24. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-421, May.
    25. Eckstein, Zvi, 1984. "A Rational Expectations Model of Agricultural Supply," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 1-19, February.
    26. Nickell, Stephen J, 1979. "Estimating the Probability of Leaving Unemployment," Econometrica, Econometric Society, vol. 47(5), pages 1249-1266, September.
    27. Lewis, Philip E. T., 1983. "Disequilibrium in the Australian aggregate labour market," Economics Letters, Elsevier, vol. 11(1-2), pages 185-189.
    28. Inder, Brett A, 1990. "A New Test for Autocorrelation in the Disturbances of the Dynamic Linear Regression Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 341-354, May.
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