A Flexible Sample Selection Model: A GTL-Copula Approach
In this paper, we propose a new approach to estimating sample selection models that combines Generalized Tukey Lambda (GTL) distributions with copulas. The GTL distribution is a versatile univariate distribution that permits a wide range of skewness and thick- or thin-tailed behavior in the data that it represents. Copulas help create versatile representations of bivariate distribution. The versatility arising from inserting GTL marginal distributions into copula-constructed bivariate distributions reduces the dependence of estimated parameters on distributional assumptions in applied research. A thorough Monte Carlo study illustrates that our proposed estimator performs well under normal and nonnormal settings, both with and without an instrument in the selection equation that fulfills the exclusion restriction that is often considered to be a requisite for implementation of sample selection models in empirical research. Five applications ranging from wages and health expenditures to speeding tickets and international disputes illustrate the value of the proposed GTL-copula estimator.
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- Amos Golan & Enrico Moretti & Jeffrey M.Perloff, 2004.
"A Small-Sample Estimator for the Sample-Selection Model,"
Taylor & Francis Journals, vol. 23(1), pages 71-91.
- Golan, Amos & Moretti, Enrico & Perloff, Jeffrey M., 2001. "A Small-Sample Estimator for the Sample-Selection Model," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt4c82d2nv, Department of Agricultural & Resource Economics, UC Berkeley.
- Golan, Amos & Moretti, Enrico & Perloff, Jeffrey M, 2001. "A small-sample estimator for the sample-selection model," CUDARE Working Paper Series 955, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
- Olsen, Randall J, 1980. "A Least Squares Correction for Selectivity Bias," Econometrica, Econometric Society, vol. 48(7), pages 1815-20, November.
- Whitney Newey, 1999.
"Two Step Series Estimation of Sample Selection Models,"
99-04, Massachusetts Institute of Technology (MIT), Department of Economics.
- Whitney K. Newey, 2009. "Two-step series estimation of sample selection models," Econometrics Journal, Royal Economic Society, vol. 12(s1), pages S217-S229, 01.
- James Heckman & Justin L. Tobias & Edward Vytlacil, 2003.
"Simple Estimators for Treatment Parameters in a Latent-Variable Framework,"
The Review of Economics and Statistics,
MIT Press, vol. 85(3), pages 748-755, August.
- Heckman, J J & Tobias, Justin & Vytlacil, Ed, 2003. "Simple Estimators for Treatment Parameters in a Latent Variable Framework," Staff General Research Papers Archive 12012, Iowa State University, Department of Economics.
- A. D. Roy, 1951. "Some Thoughts On The Distribution Of Earnings," Oxford Economic Papers, Oxford University Press, vol. 3(2), pages 135-146.
- Orazio Attanasio & Costas Meghir & Ana Santiago, 2010.
"Education choices in Mexico: using a structural model and a randomized experiment to evaluate Progresa,"
IFS Working Papers
W10/14, Institute for Fiscal Studies.
- Orazio P. Attanasio & Costas Meghir & Ana Santiago, 2012. "Education Choices in Mexico: Using a Structural Model and a Randomized Experiment to Evaluate PROGRESA," Review of Economic Studies, Oxford University Press, vol. 79(1), pages 37-66.
- Lung-Fei Lee, 1982. "Some Approaches to the Correction of Selectivity Bias," Review of Economic Studies, Oxford University Press, vol. 49(3), pages 355-372.
- Deb, Partha & Trivedi, Pravin K., 2002. "The structure of demand for health care: latent class versus two-part models," Journal of Health Economics, Elsevier, vol. 21(4), pages 601-625, July.
- 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.
- Vijverberg, Wim P. & Hasebe, Takuya, 2015. "GTL Regression: A Linear Model with Skewed and Thick-Tailed Disturbances," IZA Discussion Papers 8898, Institute for the Study of Labor (IZA).
- Gianna Boero & Jeremy Smith & Kenneth Wallis, 2005. "The Sensitivity of Chi-Squared Goodness-of-Fit Tests to the Partitioning of Data," Econometric Reviews, Taylor & Francis Journals, vol. 23(4), pages 341-370.
- 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.
- Ahn, Hyungtaik & Powell, James L., 1993. "Semiparametric estimation of censored selection models with a nonparametric selection mechanism," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 3-29, July.
- Erik Meijer & Tom Wansbeek, 2007. "The Sample Selection Model from a Method of Moments Perspective," Econometric Reviews, Taylor & Francis Journals, vol. 26(1), pages 25-51.
- 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.
- Murray D. Smith, 2003. "Modelling sample selection using Archimedean copulas," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 99-123, 06.
- 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.
- 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.
- Margarita Genius & Elisabetta Strazzera, 2008. "Applying the copula approach to sample selection modelling," Applied Economics, Taylor & Francis Journals, vol. 40(11), pages 1443-1455.
- Yen, Steven T. & Yuan, Yan & Liu, Xiaowen, 2009. "Alcohol consumption by men in China: A non-Gaussian censored system approach," China Economic Review, Elsevier, vol. 20(2), pages 162-173, June.
- Mitali Das & Whitney K. Newey & Francis Vella, 2003. "Nonparametric Estimation of Sample Selection Models," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 33-58.
- Jose-Mari Sarabia, 1997. "A hierarchy of lorenz curves based on the generalized tukey's lambda distribution," Econometric Reviews, Taylor & Francis Journals, vol. 16(3), pages 305-320.
- A. Colin Cameron & Tong Li & Pravin K. Trivedi & David M. Zimmer, 2004.
"Modelling the differences in counted outcomes using bivariate copula models with application to mismeasured counts,"
Royal Economic Society, vol. 7(2), pages 566-584, December.
- A. Colin Cameron & Tong Li & Pravin K. Trivedi & David M. Zimmer, 2004. "Modeling the Differences in Counted Outcomes using Bivariate Copula Models: with Application to Mismeasured Counts," Working Papers 43, University of California, Davis, Department of Economics.
- Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
- Gourieroux, Christian & Holly, Alberto & Monfort, Alain, 1982. "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, Econometric Society, vol. 50(1), pages 63-80, January.
- Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-12, March.
- Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, November.
- 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.
- 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.
- Diane Dancer & Anu Rammohan & Murray D. Smith, 2008. "Infant mortality and child nutrition in Bangladesh," Health Economics, John Wiley & Sons, Ltd., vol. 17(9), pages 1015-1035.
- Zuehlke, Thomas W & Zeman, Allen R, 1991. "A Comparison of Two-Stage Estimators of Censored Regression Models," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 185-88, February.
- Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-33, March.
- Lee, Lung-Fei, 1978. "Unionism and Wage Rates: A Simultaneous Equations Model with Qualitative and Limited Dependent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 415-33, June.
- Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July.
- Su, Steve, 2007. "Numerical maximum log likelihood estimation for generalized lambda distributions," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 3983-3998, May.
- Michael D. Makowsky & Thomas Stratmann, 2009. "Political Economy at Any Speed: What Determines Traffic Citations?," American Economic Review, American Economic Association, vol. 99(1), pages 509-27, March.
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