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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, A.S.

    (Tilburg University, Center For Economic Research)

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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Suggested Citation

  • Kalwij, A.S., 2000. "A Maximum Likelihood Estimator based on First Differences for a Panel Data Tobit Model with Individual Specific Effects," Discussion Paper 2000-28, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:91721ef8-f1c1-419f-a836-fa7670ffe5a9
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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. 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.
    3. 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.
    4. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
    5. 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.
    6. Zabel, Jeffrey E., 1992. "Estimating fixed and random effects models with selectivity," Economics Letters, Elsevier, vol. 40(3), pages 269-272, November.
    7. Campbell, Jeffrey R. & Honoré, Bo E., 1993. "Median Unbiasedness of Estimators of Panel Data Censored Regression Models," Econometric Theory, Cambridge University Press, vol. 9(3), pages 499-503, June.
    8. repec:adr:anecst:y:1999:i:55-56:p:06 is not listed on IDEAS
    9. Nijman, T.E. & Verbeek, M.J.C.M., 1992. "Non-response in panel data : The impact on estimates of a life cycle consumption function," Other publications TiSEM 3c661e33-2cd1-47f1-a7d9-3, Tilburg University, School of Economics and Management.
    10. 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.
    11. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    12. María Engracia Rochina-Barrachina, 1999. "A New Estimator for Panel Data Sample Selection Models," Annals of Economics and Statistics, GENES, issue 55-56, pages 153-181.
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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 & Department of Economics & University of Oxford., 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. Kalwij, A.S., 2004. "A Two-Step First Difference Estimator for a Panel Data Tobit Model under Conditional Mean Independence Assumptions," Other publications TiSEM 473a102b-78d1-4add-847f-5, Tilburg University, School of Economics and Management.
    6. Shadrack Muthami Mwatu, 2022. "Institutions and export performance: firm level evidence from Kenya," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 69(4), pages 487-506, December.
    7. 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.
    8. repec:aia:aiaswp:wp21 is not listed on IDEAS
    9. Kalwij, A.S., 2004. "A Two-Step First Difference Estimator for a Panel Data Tobit Model under Conditional Mean Independence Assumptions," Other publications TiSEM 473a102b-78d1-4add-847f-5, Tilburg University, School of Economics and Management.

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    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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