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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., 1987. "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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    Cited by:

    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. Vassilis Argyrou Hajivassiliou, 1993. "Simulating Normal Rectangle Probabilities and Their Derivatives: The Effects of Vectorization," Working Papers _025, Yale University.
    4. Keane, Michael, 1993. "Simulation estimation for panel data models with limited dependent variables," MPRA Paper 53029, University Library of Munich, Germany.

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