IDEAS home Printed from https://ideas.repec.org/p/hhs/osloec/2011_018.html
   My bibliography  Save this paper

Models of Truncation, Sample Selection, and Limited Dependent Variables: Suggestions for a Common Language

Author

Listed:
  • Biørn, Erik

    (Dept. of Economics, University of Oslo)

  • R. Wangen, Knut

    (Department of Health Management and Health Economics, University of Oslo)

Abstract

The aim of this paper is two-fold: (a) to establish a ‘map’ for describing the wide class of Limited Dependent Variables (LDV) univariate and multivariate models in the econometric literature and (b) to localize typical models in this tradition within the structure, extending typologies of Heckman (1976) and Amemiya (1984). The classification system, or language, proposed, is given at different level of detail. Its scope is (1) that the latent variables can have any parametric distribution, (2) that a set of observation rules which include the observed, censored, missing status, is imposed, (3) that it should be possible to write a model combining (1) and (2) by means of a computer algorithm, also potentially applicable for generating samples and (4) that the models belonging to the system should have names to facilitate communication among researchers. The likelihood functions corresponding to the models’ observed endogenous variables are discussed, but the paper is not concerned with describing the application of these functions for inference.

Suggested Citation

  • Biørn, Erik & R. Wangen, Knut, 2011. "Models of Truncation, Sample Selection, and Limited Dependent Variables: Suggestions for a Common Language," Memorandum 18/2011, Oslo University, Department of Economics.
  • Handle: RePEc:hhs:osloec:2011_018
    as

    Download full text from publisher

    File URL: https://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2011/Memo-18-2011.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    3. Dagenais, Marcel G, 1975. "Application of a Threshold Regression Model to Household Purchases of Automobiles," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 275-285, August.
    4. Nelson, Forrest D., 1977. "Censored regression models with unobserved, stochastic censoring thresholds," Journal of Econometrics, Elsevier, vol. 6(3), pages 309-327, November.
    Full references (including those not matched with items on IDEAS)

    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. Biørn, Erik & Wangen, Knut R., 2012. "New Taxonomies for Limited Dependent Variables Models," MPRA Paper 41461, University Library of Munich, Germany.
    2. Eric Chiang & Djeto Assane, 2007. "Determinants of music copyright violations on the university campus," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 31(3), pages 187-204, September.
    3. John Bound & Clint Cummins & Zvi Griliches & Bronwyn H. Hall & Adam B. Jaffe, 1984. "Who Does R&D and Who Patents?," NBER Chapters, in: R&D, Patents, and Productivity, pages 21-54, National Bureau of Economic Research, Inc.
    4. Verbeek, M.J.C.M. & Nijman, T.E., 1992. "Incomplete panels and selection bias : A survey," Discussion Paper 1992-7, Tilburg University, Center for Economic Research.
    5. Rama Lionel Ngenzebuke, 2016. "Female say on income and child outcomes: Evidence from Nigeria," WIDER Working Paper Series 134, World Institute for Development Economic Research (UNU-WIDER).
    6. Gerko Vink & Laurence E. Frank & Jeroen Pannekoek & Stef Buuren, 2014. "Predictive mean matching imputation of semicontinuous variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 68(1), pages 61-90, February.
    7. Yan Zhang, 2013. "Fair Lending Analysis of Mortgage Pricing: Does Underwriting Matter?," The Journal of Real Estate Finance and Economics, Springer, vol. 46(1), pages 131-151, January.
    8. FERRAGINA, Anna Maria, 2013. "The Impact of FDI on Firm Survival and Employment: A Comparative Analysis for Turkey and Italy," CELPE Discussion Papers 127, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    9. Peter Hartley & Chris Trengove, 1990. "East‐West Airlines' Sydney‐Melbourne Service: Market Expansion or Demand Diversion?," The Economic Record, The Economic Society of Australia, vol. 66(3), pages 203-220, September.
    10. Chiang, Eric P. & Assane, Djeto, 2008. "Music piracy among students on the university campus: Do males and females react differently?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(4), pages 1371-1380, August.
    11. Jouni Kuha & Myrsini Katsikatsou & Irini Moustaki, 2018. "Latent variable modelling with non‐ignorable item non‐response: multigroup response propensity models for cross‐national analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(4), pages 1169-1192, October.
    12. Goic, Marcel & Rojas, Andrea & Saavedra, Ignacio, 2021. "The Effectiveness of Triggered Email Marketing in Addressing Browse Abandonments," Journal of Interactive Marketing, Elsevier, vol. 55(C), pages 118-145.
    13. Li, Phillip, 2011. "Estimation of sample selection models with two selection mechanisms," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1099-1108, February.
    14. Barros, Pedro Pita, 1995. "Post-entry expansion in banking: The case of Portugal," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 593-611, December.
    15. Miguel Santolino & Catalina Bolancé & Manuela Alcañiz, 2011. "Factors affecting hospital admission and recovery stay duration of in-patient motor victims in Spain," IREA Working Papers 201119, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    16. Bertanha, Marinho & McCallum, Andrew H. & Seegert, Nathan, 2023. "Better bunching, nicer notching," Journal of Econometrics, Elsevier, vol. 237(2).
    17. Nijman, T.E. & Verbeek, M.J.C.M., 1993. "Nonresponse in panel data : The impact on estimates of a life cycle consumption function," Other publications TiSEM 7e304903-485c-4f36-b13a-f, Tilburg University, School of Economics and Management.
    18. Roderick J. A. Little & Donald B. Rubin, 1989. "The Analysis of Social Science Data with Missing Values," Sociological Methods & Research, , vol. 18(2-3), pages 292-326, November.
    19. Dante Amengual & Xinyue Bei & Enrique Sentana, 2020. "Hypothesis Tests with a Repeatedly Singular Information Matrix," Working Papers wp2020_2002, CEMFI.
    20. Xulia González & Jordi Jaumandreu, "undated". "Threshold effects in product R&D decisions: theoretical framework and empirical analysis," Studies on the Spanish Economy 45, FEDEA.

    More about this item

    Keywords

    Micro-econometrics; Limited dependent variables; Latent variables; Discrete choice; Censoring; Truncation; Missing observations;
    All these keywords.

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hhs:osloec:2011_018. 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: Mari Strønstad Øverås (email available below). General contact details of provider: https://edirc.repec.org/data/souiono.html .

    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.