IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-08c30069.html
   My bibliography  Save this article

Semi-nonparametric count data estimation with an endogenous binary variable

Author

Listed:
  • Hiroaki Masuhara

    (Section of Health Economics, Department of Gerontological Policy, National Center for Geriatrics and Gerontology (NCGG))

Abstract

This paper proposes a semi-nonparametric Poisson model with an endogenous binary variable, which generalizes bivariate correlated unobserved heterogeneity using Hermite polynomials, and compares this model with a parametric one. The National Health Interview Survey (NHIS) data from 1990 shows the difference between the endogenous binary variable's coefficients of the semi-nonparametric and parametric models.

Suggested Citation

  • Hiroaki Masuhara, 2008. "Semi-nonparametric count data estimation with an endogenous binary variable," Economics Bulletin, AccessEcon, vol. 3(42), pages 1-13.
  • Handle: RePEc:ebl:ecbull:eb-08c30069
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2008/Volume3/EB-08C30069A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Munkin, Murat K. & Trivedi, Pravin K., 2003. "Bayesian analysis of a self-selection model with multiple outcomes using simulation-based estimation: an application to the demand for healthcare," Journal of Econometrics, Elsevier, vol. 114(2), pages 197-220, June.
    2. Melenberg, B. & van Soest, A.H.O., 1993. "Semi-parametric estimation of the sample selection model," Other publications TiSEM 204da5b1-2a6f-4815-b823-1, Tilburg University, School of Economics and Management.
    3. Donald S. Kenkel & Joseph V. Terza, 2001. "The effect of physician advice on alcohol consumption: count regression with an endogenous treatment effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 165-184.
    4. van der Klaauw, Bas & Koning, Ruud H, 2003. "Testing the Normality Assumption in the Sample Selection Model with an Application to Travel Demand," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 31-42, January.
    5. Gabler, Siegfried & Laisney, Francois & Lechner, Michael, 1993. "Seminonparametric Estimation of Binary-Choice Models with an Application to Labor-Force Participation," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 61-80, January.
    6. John Mullahy, 1997. "Instrumental-Variable Estimation Of Count Data Models: Applications To Models Of Cigarette Smoking Behavior," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 586-593, November.
    7. Deb, Partha & Munkin, Murat K. & Trivedi, Pravin K., 2006. "Private Insurance, Selection, and Health Care Use: A Bayesian Analysis of a Roy-Type Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 403-415, October.
    8. Terza, Joseph V., 1998. "Estimating count data models with endogenous switching: Sample selection and endogenous treatment effects," Journal of Econometrics, Elsevier, vol. 84(1), pages 129-154, May.
    9. Rabe-Hesketh, Sophia & Skrondal, Anders & Pickles, Andrew, 2005. "Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects," Journal of Econometrics, Elsevier, vol. 128(2), pages 301-323, October.
    10. Windmeijer, F A G & Silva, J M C Santos, 1997. "Endogeneity in Count Data Models: An Application to Demand for Health Care," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 281-294, May-June.
    11. Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2002. "Reliable estimation of generalized linear mixed models using adaptive quadrature," Stata Journal, StataCorp LP, vol. 2(1), pages 1-21, February.
    12. Andrés Romeu & Marcos Vera-Hernández, 2005. "Counts with an endogenous binary regressor: A series expansion approach," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 1-22, March.
    13. Cameron, A Colin & Johansson, Per, 1997. "Count Data Regression Using Series Expansions: With Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 203-223, May-June.
    14. Alfonso Miranda & Sophia Rabe-Hesketh, 2006. "Maximum likelihood estimation of endogenous switching and sample selection models for binary, ordinal, and count variables," Stata Journal, StataCorp LP, vol. 6(3), pages 285-308, September.
    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. Canan GÜNEŞ & Mustafa ÜNLÜ & Yasin BÜYÜKKÖR & Şenay ÜÇDOĞRUK BİRECİKLİ, 2016. "Türkiye’de Sağlık Hizmetleri Talebinin Sayma Veri Modelleriyle İncelenmesi: İçsellik Sorunu," Sosyoekonomi Journal, Sosyoekonomi Society, issue 24(30).
    2. Kevin E. Staub, 2009. "Simple tests for exogeneity of a binary explanatory variable in count data regression models," SOI - Working Papers 0904, Socioeconomic Institute - University of Zurich.
    3. Masuhara, Hiroaki, 2013. "Semiparametric duration analysis with an endogenous binary variable: An application to hospital stays," CIS Discussion paper series 597, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.

    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. repec:ebl:ecbull:v:3:y:2008:i:42:p:1-13 is not listed on IDEAS
    2. Andrés Romeu & Marcos Vera-Hernández, 2005. "Counts with an endogenous binary regressor: A series expansion approach," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 1-22, March.
    3. Andr? Romeu-Santana & ?gel M. Vera-Hern?dez, "undated". "A Semi-Nonparametric Estimator For Counts With An Endogenous Dummy. Variable," UFAE and IAE Working Papers 452.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    4. Partha Deb & Pravin K. Trivedi, 2012. "Empirical Models of Health Care Use," Chapters, in: Andrew M. Jones (ed.), The Elgar Companion to Health Economics, Second Edition, chapter 14, Edward Elgar Publishing.
    5. Massimiliano Bratti & Alfonso Miranda, 2010. "Non‐pecuniary returns to higher education: the effect on smoking intensity in the UK," Health Economics, John Wiley & Sons, Ltd., vol. 19(8), pages 906-920, August.
    6. Massimiliano Bratti & Alfonso Miranda, 2010. "Endogenous Treatment Effects for Count Data Models with Sample Selection or Endogenous Participation," DoQSS Working Papers 10-05, Quantitative Social Science - UCL Social Research Institute, University College London, revised 10 Dec 2010.
    7. Massimiliano Bratti & Alfonso Miranda, 2011. "Endogenous treatment effects for count data models with endogenous participation or sample selection," Health Economics, John Wiley & Sons, Ltd., vol. 20(9), pages 1090-1109, September.
    8. Alfonso Miranda & Sophia Rabe-Hesketh, 2006. "Maximum likelihood estimation of endogenous switching and sample selection models for binary, ordinal, and count variables," Stata Journal, StataCorp LP, vol. 6(3), pages 285-308, September.
    9. Toni Mora, 2008. "The relevance of satisfaction with coverage for health care utilization: evidence from Catalonia," Hacienda Pública Española / Review of Public Economics, IEF, vol. 184(1), pages 99-116, April.
    10. Emilio Parrado & Chenoa Flippen & Chris McQuiston, 2005. "Migration and relationship power among mexican women," Demography, Springer;Population Association of America (PAA), vol. 42(2), pages 347-372, May.
    11. Kevin E. Staub, 2009. "Simple tests for exogeneity of a binary explanatory variable in count data regression models," SOI - Working Papers 0904, Socioeconomic Institute - University of Zurich.
    12. Burda, Martin & Harding, Matthew & Hausman, Jerry, 2012. "A Poisson mixture model of discrete choice," Journal of Econometrics, Elsevier, vol. 166(2), pages 184-203.
    13. Vondolia, Godwin Kofi & Eggert, HÃ¥kan & Stage, Jesper, "undated". "Nudging Boserup? The Impact of Fertilizer Subsidies on Investment in Soil and Water Conservation," RFF Working Paper Series dp-12-08-efd, Resources for the Future.
    14. Maksym, Obrizan, 2010. "A Bayesian Model of Sample Selection with a Discrete Outcome Variable," MPRA Paper 28577, University Library of Munich, Germany.
    15. Koen Jochmans & Vincenzo Verardi, 2022. "Instrumental‐variable estimation of exponential‐regression models with two‐way fixed effects with an application to gravity equations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(6), pages 1121-1137, September.
    16. Michael Creel, 2002. "Hausman Tests for Inefficient Estimators: Application to Demand for Health Care Service (revised)," UFAE and IAE Working Papers 509.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    17. Terza, Joseph V. & Basu, Anirban & Rathouz, Paul J., 2008. "Two-stage residual inclusion estimation: Addressing endogeneity in health econometric modeling," Journal of Health Economics, Elsevier, vol. 27(3), pages 531-543, May.
    18. Geraci Andrea & Fabbri Daniele & Monfardini Chiara, 2018. "Testing Exogeneity of Multinomial Regressors in Count Data Models: Does Two-stage Residual Inclusion Work?," Journal of Econometric Methods, De Gruyter, vol. 7(1), pages 1-19, January.
    19. Andrés Ramírez Hassan & Johnatan Cardona Jimenez & Ramiro Cadavid Montoya, 2011. "The impact of subsidized health insurance on the poor in Colombia: Evaluating the case of Medellin," Documentos de Trabajo de Valor Público 10602, Universidad EAFIT.
    20. Nyman, John A. & Koc, Cagatay & Dowd, Bryan E. & McCreedy, Ellen & Trenz, Helen Markelova, 2018. "Decomposition of moral hazard," Journal of Health Economics, Elsevier, vol. 57(C), pages 168-178.
    21. Canan GÜNEŞ & Mustafa ÜNLÜ & Yasin BÜYÜKKÖR & Şenay ÜÇDOĞRUK BİRECİKLİ, 2016. "Türkiye’de Sağlık Hizmetleri Talebinin Sayma Veri Modelleriyle İncelenmesi: İçsellik Sorunu," Sosyoekonomi Journal, Sosyoekonomi Society, issue 24(30).

    More about this item

    Keywords

    Endogenous switching;

    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:ebl:ecbull:eb-08c30069. 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: John P. Conley (email available below). General contact details of provider: .

    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.