AMH Copula ML Estimation for the Sample Selection Model
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In this paper, we propose a copula ML estimation method for the sample selection model using the Ali-Mikhail-Haq (AMH) copula. The proposed AMH copula ML estimation is compared with the well-known bivariate ML estimation and Heckman’s two-step estimation. Monte Carlo experiments are conducted to compare their performance in terms of the mean squared error (MSE) depending on the following 2 conditions: (i) whether the imposed distributional assumption is correct, and (ii) whether some regressors of the participation and outcome equation are correlated. The results of the experiments show that the estimation results for the proposed method can be better than those of the two wellknown methods, particularly when the imposed distributional assumption is incorrect and some regressors of the two equations are correlated. Hence, the proposed method can be a practically useful alternative for the sample selection model.
Abstract
In this paper, we propose a copula ML estimation method for the sample selection model using the Ali-Mikhail-Haq (AMH) copula. The proposed AMH copula ML estimation is compared with the well-known bivariate ML estimation and Heckman’s two-step estimation. Monte Carlo experiments are conducted to compare their performance in terms of the mean squared error (MSE) depending on the following 2 conditions: (i) whether the imposed distributional assumption is correct, and (ii) whether some regressors of the participation and outcome equation are correlated. The results of the experiments show that the estimation results for the proposed method can be better than those of the two wellknown methods, particularly when the imposed distributional assumption is incorrect and some regressors of the two equations are correlated. Hence, the proposed method can be a practically useful alternative for the sample selection model.
참고문헌 (31)
- Ali, M. M., "A Class of Bivariate Distributions Including the Bivariate Logistic", Journal Multivariate Analysis, 8, pp.405~412 (1978)
- Bierens, H. J., "Semi-Nonparametric Estimation of Independently and Identically Repeated First-Price Auctions via an Integrated Simulated Moments Method", Journal of Econometrics, 168, pp.108~119 (2012)
- Semi-Nonparametric Modeling and Estimation of First-Price Auctions Models with Auction-Specific Heterogeneity, "Bierens, H. J.", ~ (2014)
- Bierens, H. J., "Consistency and Asymptotic Normality of Sieve ML Estimators Under Low-Level Conditions", Econometric Theory, 30, pp.1021~1076 (2014)
- Chen, S., "Semiparametric Estimation of the Type-3 Tobit Model", Journal of Econometrics, 80, pp.1~34 (1997)
- Chen, X., "Efficient Estimation of Semiparametric Multivariate Copula Models", Journal of the American Statistical Association, 101, pp.1228~1240 (2006)
- Cragg, J. G., "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods", Econometrica, 39, pp.829~844 (1971)
- Das, M., "Nonparametric Estimation of Sample Selection Models", Review of Economic Studies, 70, pp.33~58 (2003)
- Fan, J., "Semiparametric Estimation of Value at Risk", Econometrics Journal, 6, pp.261~290 (2003)
- Gallant, A. R., "Semi-nonparametric Maximum Likelihood Estimation", Econometrica, 55, pp.363~390 (1987)
- Genest, C., "The Joys of Copulas : Bivariate Distributions with Uniform Marginals", American Statistician, 40, pp.280~283 (1986)
- Heckman, J. J., "Shadow Prices, Market Wages, and Labor Supply", Econometrica, 42, pp.679~694 (1974)
- Heckman, J. J., "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models", The Annals of Economic and Social Measurement, 5, pp.475~492 (1976)
- Heckman, J. J., "Dummy Endogenous Variables in a Simultaneous Equation System", Econometrica, 46, pp.931~959 (1978)
- Heckman, J. J., "Sample Selection Bias as a Specification Error", Econometrica, 47, pp.153~161 (1979)
- Honore, B. E., "Estimation of Type-3 Tobit Models Using Symmetric Trimming and Pairwise Comparisons", Journal of Econometrics, 76, pp.107~128 (1997)
- Hu, L., "Dependence Patterns Across Financial Markets : A Mixed Copula Approach", Applied Financial Economics, 16, pp.717~729 (2006)
- Kumar, P., "Probability Distributions and Estimation of Ali-Mikhail-Haq Copula", Applied Mathematical Sciences, 4, pp.657~666 (2010)
- Lee, L., "Generalized Econometric Models with Selectivity", Econometrica, 51, pp.507~512 (1983)
- Manski, C. F., "Identification of Binary Response Models", Journal of the American Statistical Association, 83, pp.729~738 (1988)
- Nawata, K., "A Note on the Estimation of Models with Sample-selection Biases", Economics Letters, 42, pp.15~24 (1993)
- Nawata, K., "Estimation of Sample Selection Bias Models", Econometric Reviews, 104, pp.387~400 (1996)
- Nelder, J. A., "A Simplex Method for Function Minimization", The Computer Journal, 7, pp.30813~ (1965)
- Nelsen, R. B., "An Introduction to Copulas" (2006), Springer
- Oh, D. H., "Simulated Method of Moments Estimation for Copula-Based Multivariate Models", Journal of the American Statistical Association, 108, pp.689~700 (2013)
- Patton, A. J., "Modelling Asymmetric Exchange Rate Dependence", International Economic Review, 47, pp.527~556 (2006)
- Sklar, A., "Fonctions de rpartition n dimensions et leurs marges", Publ Inst Statist Univ Paris, 8, pp.229~231 (1959)
- Smith, M. D., "Modeling Sample Selection Using Archimedean Copulas", Econometrics Journal, 6, pp.99~123 (2003)
- Vella, F., "Simple Test for Sample Selection Bias in Censored and Discrete Choice Models", Journal of Applied Econometrics, 7, pp.413~421 (1992)
- Vella, F., "A Simple Estimator for Simultaneous Models with Censored Endogenous Regressors", International Economic Review, 34, pp.441~457 (1993)
- Zimmer, D. M., "Using Trivariate Copulas to Model Sample Selection and Treatment Effects : Application of Family Health Care Demand", Journal of Business & Economic Statistics, 24, pp.63~76 (2006)
