The Copula Approach to Sample Selection Modelling: An Application to the Recreational Value of Forests
AbstractThe sample selection model is based upon a bivariate or a multivariate structure, and distributional assumptions are in this context more severe than in univariate settings, due to the limited availability of tractable multivariate distributions. While the standard FIML estimation of the selectivity model assumes normality of the joint distribution, alternative approaches require less stringent distributional hypotheses. As shown by Smith (2003), copulas allow great flexibility also in FIML models. The copula model is very useful in situations where the applied researcher has a prior on the distributional form of the margins, since it allows separating their modelling from that of the dependence structure. In the present paper the copula approach to sample selection is first compared to the semiparametric approach and to the standard FIML, bivariate normal model, in an illustrative application on female work data. Then its performance is analysed more thoroughly in an application to Contingent Valuation data on recreational values of forests.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2004.73.
Date of creation: Apr 2004
Date of revision:
Contingent valuation; Selectivity bias; Bivariate models; Copulas;
Find related papers by JEL classification:
- C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
- Q26 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Recreational Aspects of Natural Resources
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-07-18 (All new papers)
- NEP-ECM-2004-07-18 (Econometrics)
- NEP-ENV-2004-07-18 (Environmental Economics)
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.:
- Murray D. Smith, 2003. "Modelling sample selection using Archimedean copulas," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 99-123, 06.
- Cam Donaldson & Andrew Jones & Tracy Mapp & Jan Abel Olson, 1998. "Limited dependent variables in willingness to pay studies: applications in health care," Applied Economics, Taylor and Francis Journals, vol. 30(5), pages 667-677.
- Lee, Lung-Fei, 1982. "Some Approaches to the Correction of Selectivity Bias," Review of Economic Studies, Wiley Blackwell, vol. 49(3), pages 355-72, July.
- Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-12, March.
- Elisabetta Strazzera & Margarita Genius & Riccardo Scarpa & George Hutchinson, . "The Effect Of Protest Votes On The Estimates Of Willingness To Pay For Use Values Of Recreational Sites," Working Papers 0106, University of Crete, Department of Economics.
- Leung, S.F. & Yu, S., 1996.
"Collinearity and Two-Step Estimation of Sample Selection Models: Problems, Origins and Remedies,"
RCER Working Papers
419, University of Rochester - Center for Economic Research (RCER).
- Siu Fai Leung & Shihti Yu, 2000. "Collinearity and Two-Step Estimation of Sample Selection Models: Problems, Origins, and Remedies," Computational Economics, Society for Computational Economics, vol. 15(3), pages 173-199, June.
- Leung, S.F. & Yu, S., 1992.
"On the Choice Between Sample Selection and Two-Part Models,"
RCER Working Papers
337, University of Rochester - Center for Economic Research (RCER).
- Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
- Puhani, Patrick A, 2000. " The Heckman Correction for Sample Selection and Its Critique," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 53-68, February.
- Horowitz, Joel L., 1993. "Semiparametric estimation of a work-trip mode choice model," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 49-70, July.
- Elisabetta Strazzera & Riccardo Scarpa & Pinuccia Calia & Guy Garrod & Kenneth Willis, 2003. "Modelling zero values and protest responses in contingent valuation surveys," Applied Economics, Taylor and Francis Journals, vol. 35(2), pages 133-138.
- Maria Fraga O. Martins, 2001. "Parametric and semiparametric estimation of sample selection models: an empirical application to the female labour force in Portugal," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(1), pages 23-39.
- Pagan, Adrian & Vella, Frank, 1989. "Diagnostic Tests for Models Based on Individual Data: A Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages S29-59, Supplemen.
- Francis Vella, 1998. "Estimating Models with Sample Selection Bias: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 127-169.
- Casey Quinn, 2005. "Generalisable regression methods for costeffectiveness using copulas," Health, Econometrics and Data Group (HEDG) Working Papers 05/13, HEDG, c/o Department of Economics, University of York.
- Penikas, H., 2010. "Financial Applications of Copula-Models," Journal of the New Economic Association, New Economic Association, issue 7, pages 24-44.
- Yu, Lining & Voit, Eberhard O., 2006. "Construction of bivariate S-distributions with copulas," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1822-1839, December.
- M. Genius & E. Strazzera, 2005. "Modeling Elicitation effects in contingent valuation studies: a Monte Carlo Analysis of the bivariate approach," Working Paper CRENoS 200502, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
- O. Carboni & G. Medda, 2007. "Government Size and the Composition of Public Spending in a Neoclassical Growth Model," Working Paper CRENoS 200701, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
- G. Marletto, 2006. "La politica dei trasporti come politica per l’innovazione: spunti da un approccio evolutivo," Working Paper CRENoS 200605, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (barbara racah).
If references are entirely missing, you can add them using this form.