Finite Mixture for Panels with Fixed Effects
AbstractThis paper develops Â…nite mixture models with Â…xed effects for two families of distributions for which the incidental parameter problem has a solution. Analytical results are provided for mixtures of Normals and mixtures of Poisson. We provide algorithms based on the expectations-maximization (EM) approach as well as computationally simpler equivalent estimators that can be used in the case of the mixtures of normals. We design and implement a Monte Carlo study that examines the Â…nite sample performance of the proposed estimator and also compares it with other estimators such the Mundlak-Chamberlain conditionally correlated random eÂ¤ects estimator. The results of Monte Carlo experiments suggest that our proposed estimators of such models have excellent Â…nite sample properties, even in the case of relatively small T and moderately sized N dimensions. The methods are applied to models of healthcare expenditures and counts of utilization using data from the Health and Retirement Study.
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Bibliographic InfoPaper provided by HEDG, c/o Department of Economics, University of York in its series Health, Econometrics and Data Group (HEDG) Working Papers with number 11/03.
Date of creation: Apr 2011
Date of revision:
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Other versions of this item:
- Partha Deb & Pravin Trivedi, 2011. "Finite Mixture for Panels with Fixed Effects," Hunter College Department of Economics Working Papers 432, Hunter College: Department of Economics.
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Longitudinal Data; Spatial Time Series
- C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
- J28 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Safety; Job Satisfaction; Related Public Policy
- I1 - Health, Education, and Welfare - - Health
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10365, National Bureau of Economic Research, Inc.
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CWP18/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
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- Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
- 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.
- Partha Deb & Karen Smith Conway, 2002.
"Is Prenatal Care Really Ineffective? Or, is the 'Devil' in the Distribution?,"
Hunter College Department of Economics Working Papers
02/2, Hunter College: Department of Economics.
- Conway, Karen Smith & Deb, Partha, 2005. "Is prenatal care really ineffective? Or, is the 'devil' in the distribution?," Journal of Health Economics, Elsevier, vol. 24(3), pages 489-513, May.
- Lancaster, Tony, 2000. "The incidental parameter problem since 1948," Journal of Econometrics, Elsevier, vol. 95(2), pages 391-413, April.
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