IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v35y2003i10p1163-1169.html
   My bibliography  Save this article

Estimation of a Tobit model with unknown censoring threshold

Author

Listed:
  • Thomas Zuehlke

Abstract

Conventional wisdom suggests that only the estimated intercept is affected by imposition of a zero censoring threshold on a Tobit model. This is true for Heckman-Lee estimation. For maximum likelihood (ML) estimation, however, it is only true if the censoring threshold is known and is subtracted from the dependent variable. Failure to properly transform the dependent variable prior to ML estimation of a zero threshold Tobit model will generally bias the coefficient estimates. A long neglected topic is ML estimation of a Tobit model with common, but unknown, censoring threshold. This paper shows that the ML estimator of the censoring threshold is the minimum order statistic from the observed subsample, and that existing software for estimation of a zero-threshold Tobit model is easily adapted to include estimation of the censoring threshold.

Suggested Citation

  • Thomas Zuehlke, 2003. "Estimation of a Tobit model with unknown censoring threshold," Applied Economics, Taylor & Francis Journals, vol. 35(10), pages 1163-1169.
    • Handle: RePEc:taf:applec:v:35:y:2003:i:10:p:1163-1169
    DOI: 10.1080/0003684032000081339
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/0003684032000081339
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/0003684032000081339?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nelson, Forrest D., 1984. "Efficiency of the two-step estimator for models with endogenous sample selection," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 181-196.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Munch, Jakob R. & Nguyen, Daniel X., 2014. "Decomposing firm-level sales variation," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 317-334.
    2. Darius Lakdawalla & Wesley Yin, 2009. "Insurer Bargaining and Negotiated Drug Prices in Medicare Part D," NBER Working Papers 15330, National Bureau of Economic Research, Inc.
    3. Omori, Yasuhiro & Miyawaki, Koji, 2010. "Tobit model with covariate dependent thresholds," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2736-2752, November.
    4. Richard T. Melstrom & Deshamithra H. W. Jayasekera, 2017. "Two-Stage Estimation to Control for Unobservables in a Recreation Demand Model with Unvisited Sites," Land Economics, University of Wisconsin Press, vol. 93(2), pages 328-341.
    5. Yvette S. Harman & Thomas W. Zuehlke, 2007. "Nonlinear duration dependence in stock market cycles," Review of Financial Economics, John Wiley & Sons, vol. 16(4), pages 350-362.
    6. Colson Gregory & Corrigan Jay R & Rousu Matthew C., 2010. "The Impact of Perceived Prices on Willingness to Pay in Experimental Auctions," Journal of Agricultural & Food Industrial Organization, De Gruyter, vol. 8(1), pages 1-13, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shrestha, Rajendra B. & Gopalakrishnan, Chennat, 1989. "Adoption And Diffusion Of Drip Irrigation Technology: An Analysis Using A Joint Discrete And Continuous Choice Framework," 1989 Annual Meeting, July 30-August 2, Baton Rouge, Louisiana 270676, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Carter, Michael R., 1986. "Peasant Productivity And Differentiation: A Microeconometric Analysis Of The Impact Of Small Farm Credit In Nicaragua," 1986 Annual Meeting, July 27-30, Reno, Nevada 278458, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Kim, Sung-Yong & Nayga, Rodolfo M., Jr. & Capps, Oral, Jr., 2000. "The Effect Of Food Label Use On Nutrient Intakes: An Endogenous Switching Regression Analysis," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 25(1), pages 1-17, July.
    4. Carter, Michael R., 1986. "Peasant Productivity and Differentiation: A Microeconometric Analysis of the Impact of Small Farm Credit in Nicaragua," Staff Papers 200445, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    5. Saulo, Helton & Vila, Roberto & Cordeiro, Shayane S. & Leiva, Víctor, 2023. "Bivariate symmetric Heckman models and their characterization," Journal of Multivariate Analysis, Elsevier, vol. 193(C).
    6. Emmanouil Mentzakis & Paul McNamee & Mandy Ryan, 2009. "Who cares and how much: exploring the determinants of co-residential informal care," Review of Economics of the Household, Springer, vol. 7(3), pages 283-303, September.
    7. Jonsson, Robert, 2008. "When does Heckman’s two-step procedure for censored data work and when does it not?," Research Reports 2008:2, University of Gothenburg, Statistical Research Unit, School of Business, Economics and Law.
    8. Ross M. Stolzenberg & Daniel A. Relles, 1990. "Theory Testing in a World of Constrained Research Design," Sociological Methods & Research, , vol. 18(4), pages 395-415, May.
    9. Ahmed, Salma & McGillivray, Mark, 2015. "Human Capital, Discrimination, and the Gender Wage Gap in Bangladesh," World Development, Elsevier, vol. 67(C), pages 506-524.
    10. Oberdabernig, Doris A., 2013. "Revisiting the Effects of IMF Programs on Poverty and Inequality," World Development, Elsevier, vol. 46(C), pages 113-142.
    11. Kossova, Elena & Potanin, Bogdan, 2018. "Heckman method and switching regression model multivariate generalization," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 50, pages 114-143.
    12. Jensen, Helen H. & Salant, Priscilla, 1986. "Fringe Benefits In Operator Off-Farm Labor Supply: Evidence From Mississippi And Tennessee," Staff Reports 277859, United States Department of Agriculture, Economic Research Service.
    13. Paul Maxim, 1992. "Immigrants, visible minorities, and self-employment," Demography, Springer;Population Association of America (PAA), vol. 29(2), pages 181-198, May.
    14. Ulrich Rendtel, 1992. "On the Choice of a Selection-Model When Estimating Regressionmodels with Selectivity," Discussion Papers of DIW Berlin 53, DIW Berlin, German Institute for Economic Research.
    15. Salvatore Falco & Marcella Veronesi, 2018. "Managing Environmental Risk in Presence of Climate Change: The Role of Adaptation in the Nile Basin of Ethiopia," Natural Resource Management and Policy, in: Leslie Lipper & Nancy McCarthy & David Zilberman & Solomon Asfaw & Giacomo Branca (ed.), Climate Smart Agriculture, pages 497-526, Springer.
    16. Robert Jonsson, 2012. "When does Heckman’s two-step procedure for censored data work and when does it not?," Statistical Papers, Springer, vol. 53(1), pages 33-49, February.
    17. Belkar, R. & Fiebig, D.G., 2008. "A Monte Carlo comparison of estimators for a bivariate probit model with selection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(2), pages 250-256.
    18. Kajal Lahiri & Jae G. Song, 2000. "The effect of smoking on health using a sequential self‐selection model," Health Economics, John Wiley & Sons, Ltd., vol. 9(6), pages 491-511, September.
    19. Salvatore Di Falco & Marcella Veronesi & Mahmud Yesuf, 2011. "Does Adaptation to Climate Change Provide Food Security? A Micro-Perspective from Ethiopia," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 93(3), pages 825-842.
    20. P.W. Miller & C. Mulvey, 1989. "Union Density and the Union/Non-Union Wage Differential in Australia," Economics Discussion / Working Papers 89-17, The University of Western Australia, Department of Economics.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:applec:v:35:y:2003:i:10:p:1163-1169. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEC20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.