Abstract
This paper aims to estimate the occupational choice equation simultaneously with wage equation for older workers in Thailand by applying the copula approach to a polychotomous choice selectivity model. Several of the copula functions, such as the Frank and Student’s \(t\) copulas are compared to the standard model which is restricted to a joint normality assumption. This paper demonstrates that a polychotomous choice selectivity model based on the copula approach performs better than the standard one. And, it is evident that among the copula based model, the Frank copula-based model provides the best fit. Also, these results show the presence of highly significant dependency of unobservable factors between the occupational choice regression and the wage regression for unskilled and skilled workers, which implies that the selectivity bias exists. The empirical results show that the older workers who live in Bangkok earn higher wage than those who live outside Bangkok. The gender variable has no impact on wages for the high skilled older workers. For the unskilled, the male worker earns more. A surprised result is that the experience has the significantly negative impact on the wages regardless of the level of the skill of the older workers. This needs serious further research in depth to explain this phenomena.
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References
National Statistical Office. The Labor Force Survey Whole Kingdom Quarter 1/2013. http://web.nso.go.th/en/pub/data_pub/130712_percent20LaborForce12.pdf. (2013)
Nawata, K.: Estimation of the female labor supply models by Heckman’s two-step estimator and the maximum likelihood estimator. Math. Comput. Simul. 64, 385–392 (2004)
Nawata, K., Li, M.: Estimation of the labor participation and wage equation model of Japanese married women by the simultaneous maximum likelihood method. J. Jpn. Int. Econ. 18, 301–315 (2004)
Bohara, A.K., Krieg, R.G.: A simultaneous multinomial logit model of indirect internal migration and earnings. JRAP 28(1), 60–71 (1998)
Puhani, P.: The Heckman correction for sample selection and its critique. J. Econ. Surv. 14(1), 53–68 (2000)
Lee, L.F.: Generalized econometric models with selectivity. Econometrica 51, 507–512 (1983)
Trivedi, P.K., Zimmer, D.M.: Copula modeling: an introduction for practitioners. Found. Trends Econom. 1(1), 1–111, Now Publishers (2005).
Smith, M.D.: Modelling sample selection using Archimedean copulas. Econom. J. 6, 99–123 (2003)
Smith, M.D.: Using Copulas to model switching regimes with an application to child labour. Econ. Rec. 81(255), S47–S57 (2005)
Genius, M., Strazzera, E.: Applying the Copula approach to sample selection modeling. Appl. Econ. 40(11), 1443–1455 (2008)
Eberth, B., Smith, M.D.: Modelling the participation decision and duration of sporting activity in Scotland. Econ. Model. 27, 822–834 (2010)
Hasebe, T., Vijverberg, W.: A Flexible Sample Selection Model: A GTL-Copula Approach. IZA Discussion Paper No. 7003, (2012).
Chinnakum, W., Sriboonchitta, S., Pastpipatkul, P.: Factors affecting economic output in developed countries: a Copula approach to sample selection with panel data. Int. J. Approx. Reason. 54(6), 809–824 (2013)
Spissu, E., Pinjari, A.R., Pendyala, R.M., Bhat, C.R.: A Copula-based joint multinomial discrete-continuous model of vehicle type choice and miles of travel. Transp. 36, 403–422 (2009)
Dubin, J.A., McFadden, D.L.: An econometric analysis of residential electric appliance holdings and consumption. Econom. 52, 345–362 (1984)
Dahl, G.B.: Mobility and the returns to education: testing a Roy model with multiple markets. Econom. 70, 2367–2420 (2002)
Bourguignon, F., Fournier, M., Gurgand, M.: Selection bias corrections based on the multinomial logit model: monte-carlo comparisons. J. Econ. Surv. 21(1), 174–205 (2007)
Dolton, P.J., Kidd, M.P.: Occupational Access and Wage Discrimination. Oxf. Bull. Econ. Stat. 56(4), 457–474 (1994)
Tansel, A.: Formal Versus Informal Sector Choice of Wage Earners and Their Wages in Turkey. Economic Research Forum for the Arab Countries, Iran and Turkey (1999)
De Hoyos, R.E.: Structural modelling of female labour participation and occupation decisions. Faculty of Economics (DAE), University of Cambridge, Cambridge Working Papers in Economics (2006).
Demoussis, M., Giannakopoulos, N., Zografakis, S.: Native-immigrant wage differentials and occupational segregation in the Greek labour market. Appl. Econ. 42, 1015–1027 (2010)
Lee, L.F., Trost, R.P.: Estimation of some limited dependent variable models with application to housing demand. J. Econom. 8, 357–382 (1978)
Oya, K.: Properties of estimators of count data model with endogenous switching. Math. Comput. Simul. 68, 539–547 (2005)
Bhat, C.R., Eluru, N.: A Copula-based approach to accommodate residential self-selection effects in travel behavior modeling. Transp. Res. Part B 43(7), 749–765 (2009)
Nelsen, R.B.: An Introduction to Copulas, 2nd edn. Springer, New York (2006)
Schmidt, T.: ‘Coping with Copula’. Forthcoming in Risk Books: Copulas-From Theory to Applications in Finance. Department of Mathematics, University of Leipzig, (2006).
Nelsen, R.B.: An Introduction to Copulas. Lecture Notes in Statistics. Springer-Verlag, New York (1999)
Aas, K.: Modelling the dependence structure of financial assets: a survey of four copulas. Norwegian Computing Center, Oslo (2004)
Embrechts, P., Lindskog, F., McNeil, A.: Handbook of heavy tailed distributions in finance. In: Rachev, S.T. (ed.) Modelling Dependence with Copulas and Applications to Risk Management. Handbooks in Finance: Book 1, pp. 329–385. Elsevier Science B.V. North-Holland (2003).
Patton, A.J.: Modelling asymmetric exchange rate dependence. Int. Econ. Rev. 47(2), 527–556 (2006)
Boonyanuphong, P.: Sriboonchitta, S. In: Huynh, V.N., Kreinovich, V., Sriboonchitta, S. (eds.) Modeling Dependence in Econometrics in Advances. Intelligent Systems and Computing. Springer, Heidelberg (2014)
Puarattanaarunkorn, O., Sriboonchitta, S.: Copula based GARCH dependence model of chinese and korean tourist arrivals to thailand: implications for risk management. In: Huynh, V.N., Kreinovich, V., Sriboonchitta, S. (eds.) Modeling Dependence in Econometrics in Advances. Intelligent Systems and Computing, pp. 343–366. Springer, Heidelberg (2014).
Sriboonchitta, S., Nguyen, H.T., Wiboonpongse, A., Liu, J.: Modeling volatility and dependency of agricultural price and production indices of Thailand: static versus time-varying copulas. Int. J. Approx. Reason. 54(6), 793–808 (2013)
Xue, G., Sriboonchitta, S.: Co-movement of prices of energy and agricultural commodities in biofuel Era: a period-GARCH Copula approach. In: Huynh, V.N., Kreinovich, V., Sriboonchitta, S. (eds.) Modeling Dependence in Econometrics in Advances. Intelligent Systems and Computing, pp. 505–520. Springer, Heidelberg (2014).
Sener, I.N., Bhat, C.R.: A Copula-based sample selection model of telecommuting choice and frequency. Environ. Plan. A 43(1), 126–145 (2009)
Maddala, G.S.: Limited-Dependent and Qualitative Variables in Econometrics. Cambridge University Press, Cambridge (1983) (Econometric Society Monographs No.3).
Domencich, T., McFadden, D.: Urban Travel Demand: A Behavioral Analysis. North Holland Publishing Company, Amsterdam (1975)
Aas, K., Czado, C., Frigessi, A., Bakken, H.: Pair copula construction of multiple dependence. Insur. Math. Econ. 44, 182–198 (2009)
Heckman, J., Tobias, J.L., Vytlacil, E.: Simple estimators for treatment parameters in a latent variable framework with an application to estimating the returns to schooling, NBER Working Paper W7950, (2001).
Hasebe, T.: Copula-based maximum-likelihood estimation of sample-selection models. Stata J. 13(3), 547–573 (2013)
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We would like to thank the referees for their comments and suggestions on the manuscript and National Statistical Office for database. The first author was supported by CHE PhD scholarship.
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Wichian, A., Sirisrisakulchai, J., Sriboonchitta, S. (2015). Copula Based Polychotomous Choice Selectivity Model: Application to Occupational Choice and Wage Determination of Older Workers. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds) Econometrics of Risk. Studies in Computational Intelligence, vol 583. Springer, Cham. https://doi.org/10.1007/978-3-319-13449-9_25
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