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Estimation Of Continuous Models On The Basis Of Set-Valued Observations

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  • van Praag, B. M. S.
  • Hop, J. P.

Abstract

In many empirical applications the phenomenon (Y,X) in which we are interested and for which we assume a model Y=f(X;04- e , cannot be observed exactly. Then we can only. say that (Y,X) eA clen+11 where A is a point set. Probit Tobit or discrete choice models are examples. In those cases we say that the observations are set-valued and that the latent phenomenon is observed through a filter . For the model Y=BX-1-e we present a general MIA-method for estimating B and E(eet) which bypasses the well-known problem of the computation of multi-dimensional integrals. Examples.are given for the case where we only observe max(Y1,Y2,Y ) or max (Y1,...,Y6).

Suggested Citation

  • van Praag, B. M. S. & Hop, J. P., "undated". "Estimation Of Continuous Models On The Basis Of Set-Valued Observations," Econometric Institute Archives 272362, Erasmus University Rotterdam.
  • Handle: RePEc:ags:eureia:272362
    DOI: 10.22004/ag.econ.272362
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    References listed on IDEAS

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    1. 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.
    2. Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
    3. Fair, Ray C & Jaffee, Dwight M, 1972. "Methods of Estimation for Markets in Disequilibrium," Econometrica, Econometric Society, vol. 40(3), pages 497-514, May.
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    1. Hajivassiliou, Vassilis A. & Ruud, Paul A., 1986. "Classical estimation methods for LDV models using simulation," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 40, pages 2383-2441, Elsevier.
    2. van Praag, B. M. S. & Hop, J. P. & Eggink, E., 1990. "A Symmetric Approach To The Labor Market," Econometric Institute Archives 272484, Erasmus University Rotterdam.
    3. Keane, Michael, 1993. "Simulation estimation for panel data models with limited dependent variables," MPRA Paper 53029, University Library of Munich, Germany.
    4. Vassilis A. Hajivassiliou, 1993. "Simulating Normal Rectangle Probabilities and Their Derivatives: The Effects of Vectorization," Cowles Foundation Discussion Papers 1049, Cowles Foundation for Research in Economics, Yale University.

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