Copula-based bivariate binary response models
The bivariate probit model is frequently used for estimating the effect of an endogenous binary regressor on a binary outcome variable. This paper discusses simple modifications that maintain the probit assumption for the marginal distributions while introducing non-normal dependence among the two variables using copulas. Simulation results and evidence from two applications, one on the effect of insurance status on ambulatory expenditure and one on the effect of completing high school on subsequent unemployment, show that these modified bivariate probit models work well in practice, and that they provide a viable and simple alternative to the standard bivariate probit approach.
|Date of creation:||Aug 2009|
|Date of revision:|
|Contact details of provider:|| Postal: Schönberggasse 1, CH-8001 Zürich|
Phone: +41-1-634 21 37
Fax: +41-1-634 49 82
Web page: http://www.soi.uzh.ch/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Munkin, Murat K. & Trivedi, Pravin K., 2008. "Bayesian analysis of the ordered probit model with endogenous selection," Journal of Econometrics, Elsevier, vol. 143(2), pages 334-348, April.
- Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-12, March.
- William N. Evans & Robert M. Schwab, 1995. "Finishing High School and Starting College: Do Catholic Schools Make a Difference?," The Quarterly Journal of Economics, Oxford University Press, vol. 110(4), pages 941-974.
- Mingliang Li, 2006. "High school completion and future youth unemployment: new evidence from High School and Beyond," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 23-53.
- Zimmer, David M. & Trivedi, Pravin K., 2006. "Using Trivariate Copulas to Model Sample Selection and Treatment Effects: Application to Family Health Care Demand," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 63-76, January.
- Trivedi, Pravin K. & Zimmer, David M., 2007. "Copula Modeling: An Introduction for Practitioners," Foundations and Trends(R) in Econometrics, now publishers, vol. 1(1), pages 1-111, April.
- Prokhorov, Artem & Schmidt, Peter, 2009.
"Likelihood-based estimation in a panel setting: Robustness, redundancy and validity of copulas,"
Journal of Econometrics,
Elsevier, vol. 153(1), pages 93-104, November.
- Artem Prokhorov & Peter Schmidt, 2009. "Likelihood Based Estimation in a Panel Setting: Robustness, Redundancy and Validity of Copulas," Working Papers 09002, Concordia University, Department of Economics.
- Daniele Fabbri & Chiara Monfardini, 2006.
"Style of practice and assortative mating: a recursive probit analysis of cesarean section scheduling in Italy,"
CHILD Working Papers
wp06_06, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
- Daniele Fabbri & Chiara Monfardini, 2008. "Style of practice and assortative mating: a recursive probit analysis of Caesarean section scheduling in Italy," Applied Economics, Taylor & Francis Journals, vol. 40(11), pages 1411-1423.
- D. Fabbri & C. Monfardini, 2006. "Style of practice and assortative mating: a recursive probit analysis of cesarean section scheduling in Italy," Working Papers 557, Dipartimento Scienze Economiche, Universita' di Bologna.
- van Ophem, Hans, 1999. "A General Method To Estimate Correlated Discrete Random Variables," Econometric Theory, Cambridge University Press, vol. 15(02), pages 228-237, April.
- Murray D. Smith, 2005. "Using Copulas to Model Switching Regimes with an Application to Child Labour," The Economic Record, The Economic Society of Australia, vol. 81(s1), pages S47-S57, 08.
- Ribar, David C, 1994.
"Teenage Fertility and High School Completion,"
The Review of Economics and Statistics,
MIT Press, vol. 76(3), pages 413-24, August.
- Wendy A. Stock & T. Aldrich Finegan & John J. Siegfried, 2009. "Completing an Economics PhD in Five Years," American Economic Review, American Economic Association, vol. 99(2), pages 624-29, May.
- Murphy, Anthony, 2007.
"Score tests of normality in bivariate probit models,"
Elsevier, vol. 95(3), pages 374-379, June.
- Anthony Murphy, 2005. "Score Tests of Normality in Bivariate Probit Models," Econometrics 0512004, EconWPA.
- Wilde, Joachim, 2000. "Identification of multiple equation probit models with endogenous dummy regressors," Economics Letters, Elsevier, vol. 69(3), pages 309-312, December.
- Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
- repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
- Murray D. Smith, 2003. "Modelling sample selection using Archimedean copulas," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 99-123, 06.
- Francis Vella, 1999. "Do Catholic Schools Make a Difference? Evidence from Australia," Journal of Human Resources, University of Wisconsin Press, vol. 34(1), pages 208-224.
- White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
- van Ophem, Hans, 2000. "Modeling Selectivity in Count-Data Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 503-11, October.
- Koenker, Roger & Yoon, Jungmo, 2009. "Parametric links for binary choice models: A Fisherian-Bayesian colloquy," Journal of Econometrics, Elsevier, vol. 152(2), pages 120-130, October.
- Murat K. Munkin & Partha Deb & Pravin K. Trivedi, 2006. "Bayesian analysis of the two-part model with endogeneity: application to health care expenditure," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(7), pages 1081-1099.
When requesting a correction, please mention this item's handle: RePEc:soz:wpaper:0913. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marita Kieser)
If references are entirely missing, you can add them using this form.