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A Generalized Parametric Selection Model for Non-normal Data

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  • Prieger, James

    (U of California, Davis)

Abstract

I develop a new approach for sample selection problems that allows parametric forms of any type to be chosen for both for the selection and the observed variables. The Generalized Parametric Selection (GPS) model can incorporate both duration and count data models, unlike previous parametric models. MLE does not require numerical integration or simulation techniques, unlike previous models for count data. I discuss application to common duration models (exponential, Weibull, log-logistic) and count models (Poisson, negative binomial). I demonstrate the usefulness of the model with an application to the effects of insurance status and managed care on hospitalization duration data. The example indicates that the GPS model may be preferred even in cases for which other parametric approaches are available.

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Bibliographic Info

Paper provided by University of California at Davis, Department of Economics in its series Working Papers with number 00-9.

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Date of creation: Jul 2000
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Handle: RePEc:ecl:ucdeco:00-9

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  1. repec:att:wimass:8909 is not listed on IDEAS
  2. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July.
  3. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492 National Bureau of Economic Research, Inc.
  4. Reuben Gronau, 1973. "Wage Comparisons -A Selectivity Bias," NBER Working Papers 0013, National Bureau of Economic Research, Inc.
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  7. Hamparsum Bozdogan, 1987. "Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions," Psychometrika, Springer, vol. 52(3), pages 345-370, September.
  8. Gallant, A Ronald & Nychka, Douglas W, 1987. "Semi-nonparametric Maximum Likelihood Estimation," Econometrica, Econometric Society, vol. 55(2), pages 363-90, March.
  9. Donna B. Gilleskie, 1998. "A Dynamic Stochastic Model of Medical Care Use and Work Absence," Econometrica, Econometric Society, vol. 66(1), pages 1-46, January.
  10. Richard G. Frank & Judith R. Lave, 1989. "A Comparison of Hospital Responses to Reimbursement Policies for Medicaid Psychiatric Patients," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 588-600, Winter.
  11. Ettner, Susan L., 1997. "Adverse selection and the purchase of Medigap insurance by the elderly," Journal of Health Economics, Elsevier, vol. 16(5), pages 543-562, October.
  12. Donald, Stephen G., 1995. "Two-step estimation of heteroskedastic sample selection models," Journal of Econometrics, Elsevier, vol. 65(2), pages 347-380, February.
  13. repec:att:wimass:9001 is not listed on IDEAS
  14. Newey, Whitney K & Powell, James L & Walker, James R, 1990. "Semiparametric Estimation of Selection Models: Some Empirical Results," American Economic Review, American Economic Association, vol. 80(2), pages 324-28, May.
  15. Crepon, Bruno & Duguet, Emmanuel, 1997. "Research and development, competition and innovation pseudo-maximum likelihood and simulated maximum likelihood methods applied to count data models with heterogeneity," Journal of Econometrics, Elsevier, vol. 79(2), pages 355-378, August.
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  17. Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-12, March.
  18. R. Winkelmann, 1998. "Count data models with selectivity," Econometric Reviews, Taylor and Francis Journals, vol. 17(4), pages 339-359.
  19. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-33, March.
  20. Welch, W. P., 1985. "Health care utilization in HMO'S : Results from two national samples," Journal of Health Economics, Elsevier, vol. 4(4), pages 293-308, December.
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  22. van Ophem, Hans, 1999. "A General Method To Estimate Correlated Discrete Random Variables," Econometric Theory, Cambridge University Press, vol. 15(02), pages 228-237, April.
  23. Cameron, A Colin & Johansson, Per, 1997. "Count Data Regression Using Series Expansions: With Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 203-23, May-June.
  24. Dor, Avi & Farley, Dean E., 1996. "Payment source and the cost of hospital care: Evidence from a multiproduct cost function with multiple payers," Journal of Health Economics, Elsevier, vol. 15(1), pages 1-21, February.
  25. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-36, May-June.
  26. Levinson, Arik & Ullman, Frank, 1998. "Medicaid managed care and infant health," Journal of Health Economics, Elsevier, vol. 17(3), pages 351-368, June.
  27. Terza, Joseph V., 1998. "Estimating count data models with endogenous switching: Sample selection and endogenous treatment effects," Journal of Econometrics, Elsevier, vol. 84(1), pages 129-154, May.
  28. Rosenman, Robert E., 1993. "Health plan effects on inpatient resource use: Some contrary evidence about IPAs," The Journal of Socio-Economics, Elsevier, vol. 22(2), pages 131-140.
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