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A note on the Tobit model in the presence of a duration variable

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  • Hafner, Christian M.
  • Preminger, Arie

Abstract

The Tobit model (censored regression model) is an important basic model appearing in many applications in economics. In this paper we consider a duration Tobit model in which a duration variable which counts the number of times the data is being censored is included as a covariate. We show that in this case, the dependent variable eventually becomes degenerate, which makes the asymptotic Fisher information matrix singular, rendering the standard methods of asymptotic inference inapplicable. We provide a simulation study and an empirical application to support our results.

Suggested Citation

  • Hafner, Christian M. & Preminger, Arie, 2015. "A note on the Tobit model in the presence of a duration variable," Economics Letters, Elsevier, vol. 126(C), pages 47-50.
  • Handle: RePEc:eee:ecolet:v:126:y:2015:i:c:p:47-50
    DOI: 10.1016/j.econlet.2014.11.010
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    References listed on IDEAS

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    1. Frederiksen, Anders & Honore, Bo E. & Hu, Luojia, 2007. "Discrete time duration models with group-level heterogeneity," Journal of Econometrics, Elsevier, vol. 141(2), pages 1014-1043, December.
    2. Nigar Hashimzade & Jean Hindriks & Gareth D. Myles, 2006. "Solutions Manual to Accompany Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582694, January.
    3. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-799, July.
    4. Basu, Deepankar & de Jong, Robert, 2009. "A note on binary choice duration models," Economics Letters, Elsevier, vol. 102(1), pages 17-18, January.
    5. DUJARDIN, Claire & lorant, VINCENT & THOMAS, Isabelle, 2013. "Self-assessed health of elderly people in Brussels: does the built environment matter?," CORE Discussion Papers 2013048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    More about this item

    Keywords

    Limited dependence; Censoring; Duration; Labor supply;

    JEL classification:

    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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