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A maximum likelihood estimator based on first differences for a panel data Tobit model with individual specific effects

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  • Kalwij, Adriaan S.

Abstract

This paper proposes an alternative estimation procedure for a panel data Tobit model with individual specific effects based on taking first differences of the equation of interest. This helps to alleviate the sensitivity of the estimates to a specific parameterization of the individual specific effects and some Monte Carlo evidence is provided in support of this. To allow for arbitrary serial correlation estimation takes place in two steps: Maximum Likelihood is applied to each pair of consecutive periods and then a Minimum Distance estimator is employed.
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  • Kalwij, Adriaan S., 2003. "A maximum likelihood estimator based on first differences for a panel data Tobit model with individual specific effects," Economics Letters, Elsevier, vol. 81(2), pages 165-172, November.
  • Handle: RePEc:eee:ecolet:v:81:y:2003:i:2:p:165-172
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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. Charlier, Erwin & Melenberg, Bertrand & van Soest, Arthur, 2000. "Estimation of a censored regression panel data model using conditional moment restrictions efficiently," Journal of Econometrics, Elsevier, vol. 95(1), pages 25-56, March.
    3. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    4. Zabel, Jeffrey E., 1992. "Estimating fixed and random effects models with selectivity," Economics Letters, Elsevier, vol. 40(3), pages 269-272, November.
    5. Nijman, Theo & Verbeek, Marno, 1992. "Nonresponse in Panel Data: The Impact on Estimates of a Life Cycle Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(3), pages 243-257, July-Sept.
    6. Wooldridge, Jeffrey M., 1995. "Selection corrections for panel data models under conditional mean independence assumptions," Journal of Econometrics, Elsevier, vol. 68(1), pages 115-132, July.
    7. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
    8. Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
    9. Campbell, Jeffrey R. & Honoré, Bo E., 1993. "Median Unbiasedness of Estimators of Panel Data Censored Regression Models," Econometric Theory, Cambridge University Press, vol. 9(03), pages 499-503, June.
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    Cited by:

    1. Pierre Koning & Daniel van Vuuren, 2006. "Hidden unemployment in disability insurance in the Netherlands; an empirical analysis based on employer data," CPB Discussion Paper 69, CPB Netherlands Bureau for Economic Policy Analysis.
    2. Mary Gregory & Adriaan S. Kalwij, 2000. "Overtime Hours in Great Britain Over the Period 1975-1999: A Panel Data Analysis," Economics Series Working Papers 27, University of Oxford, Department of Economics.
    3. Adriaan Kalwij, 2015. "Two tests for strict exogeneity in a correlated random effects panel data Tobit model," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(2), pages 115-125, May.
    4. Boryana Madzharova, 2012. "Intertemporal Income Shifting in Expectation of Lower Corporate Tax Rates: The Tax Reforms in Central and Eastern Europe," CERGE-EI Working Papers wp462, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    5. Bjornsen, Hild-Marte & Mishra, Ashok K., 2012. "Off-farm Employment and Farming Efficiency in Modern Agriculture: A Dynamic Panel Analysis," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124742, Agricultural and Applied Economics Association.
    6. repec:aia:aiaswp:wp21 is not listed on IDEAS
    7. Kalwij, A.S., 2004. "A Two-Step First Difference Estimator for a Panel Data Tobit Model under Conditional Mean Independence Assumptions," Discussion Paper 2004-67, Tilburg University, Center for Economic Research.

    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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