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Smoothed Maximum Score Estimation of Discrete Duration Models

Author

Listed:
  • Sadat Reza

    (Nanyang Business School, Nanyang Technological University, Singapore 639798, Singapore)

  • Paul Rilstone

    (Department of Economics, York University, Toronto, ON M3J 1P3, Canada)

Abstract

This paper extends Horowitz’s smoothed maximum score estimator to discrete-time duration models. The estimator’s consistency and asymptotic distribution are derived. Monte Carlo simulations using various data generating processes with varying error distributions and shapes of the hazard rate are conducted to examine the finite sample properties of the estimator. The bias-corrected estimator performs reasonably well for the models considered with moderately-sized samples.

Suggested Citation

  • Sadat Reza & Paul Rilstone, 2019. "Smoothed Maximum Score Estimation of Discrete Duration Models," JRFM, MDPI, vol. 12(2), pages 1-16, April.
    • Handle: RePEc:gam:jjrfmx:v:12:y:2019:i:2:p:64-:d:222990
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    References listed on IDEAS

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    1. Sueyoshi, Glenn T, 1995. "A Class of Binary Response Models for Grouped Duration Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 411-431, Oct.-Dec..
    2. Julian Fennema & Wilko Letterie & Gerard Pfann, 2006. "The Timing of Investment Episodes in the Netherlands," De Economist, Springer, vol. 154(3), pages 373-388, September.
    3. Reza, Sadat & Rilstone, Paul, 2014. "A simple root-N-consistent semiparametric estimator for discrete duration models," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 150-154.
    4. Melenberg, Bertrand & van Soest, Arthur, 1996. "Parametric and Semi-parametric Modelling of Vacation Expenditures," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 59-76, Jan.-Feb..
    5. Lee, Myoung-jae, 1992. "Median regression for ordered discrete response," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 59-77.
    6. Chan, Sewin & Stevens, Ann Huff, 2001. "Job Loss and Employment Patterns of Older Workers," Journal of Labor Economics, University of Chicago Press, vol. 19(2), pages 484-521, April.
    7. E. Charlier & B. Melenberg & A. H. O. van Soest, 1995. "A smoothed maximum score estimator for the binary choice panel data model with an application to labour force participation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 49(3), pages 324-342, November.
    8. Joel L. Horowitz, 1999. "Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 67(5), pages 1001-1028, September.
    9. Olympia Bover & Manuel Arellano & Samuel Bentolila, 2002. "Unemployment Duration, Benefit Duration and the Business Cycle," Economic Journal, Royal Economic Society, vol. 112(479), pages 223-265, April.
    10. John Haltiwanger & Russell Cooper & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September.
    11. Klein, Roger W & Spady, Richard H, 1993. "An Efficient Semiparametric Estimator for Binary Response Models," Econometrica, Econometric Society, vol. 61(2), pages 387-421, March.
    12. Hess, Wolfgang, 2009. "A Flexible Hazard Rate Model for Grouped Duration Data," Working Papers 2009:18, Lund University, Department of Economics.
    13. Horowitz, Joel L., 2002. "Bootstrap critical values for tests based on the smoothed maximum score estimator," Journal of Econometrics, Elsevier, vol. 111(2), pages 141-167, December.
    14. Manski, Charles F., 1975. "Maximum score estimation of the stochastic utility model of choice," Journal of Econometrics, Elsevier, vol. 3(3), pages 205-228, August.
    15. Bearse, Peter & Canals-Cerdá, José & Rilstone, Paul, 2007. "Efficient Semiparametric Estimation Of Duration Models With Unobserved Heterogeneity," Econometric Theory, Cambridge University Press, vol. 23(2), pages 281-308, April.
    16. Michael Baker & Samuel A. Rea, 1998. "Employment Spells And Unemployment Insurance Eligibility Requirements," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 80-94, February.
    17. Stephen V. Cameron & James J. Heckman, 1998. "Life Cycle Schooling and Dynamic Selection Bias: Models and Evidence for Five Cohorts of American Males," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 262-333, April.
    18. Meghir, Costas & Whitehouse, Edward, 1997. "Labour market transitions and retirement of men in the UK," Journal of Econometrics, Elsevier, vol. 79(2), pages 327-354, August.
    19. Joakim Gullstrand & Kerem Tezic, 2008. "Who leaves after entering the primary sector? Evidence from Swedish micro-level data," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 35(1), pages 1-28, March.
    20. Finnie, Ross & Gray, David, 2002. "Earnings dynamics in Canada: an econometric analysis," Labour Economics, Elsevier, vol. 9(6), pages 763-800, December.
    21. Ann Huff Stevens, 1999. "Climbing out of Poverty, Falling Back in: Measuring the Persistence of Poverty Over Multiple Spells," Journal of Human Resources, University of Wisconsin Press, vol. 34(3), pages 557-588.
    22. Sadat Reza & Paul Rilstone, 2016. "Semiparametric Efficiency Bounds and Efficient Estimation of Discrete Duration Models with Unspecified Hazard Rate," Econometric Reviews, Taylor & Francis Journals, vol. 35(5), pages 693-726, May.
    23. Manski, Charles F., 1985. "Semiparametric analysis of discrete response : Asymptotic properties of the maximum score estimator," Journal of Econometrics, Elsevier, vol. 27(3), pages 313-333, March.
    24. Rilstone, Paul & Srivastava, V. K. & Ullah, Aman, 1996. "The second-order bias and mean squared error of nonlinear estimators," Journal of Econometrics, Elsevier, vol. 75(2), pages 369-395, December.
    25. Iglesias Emma M, 2010. "First and Second Order Asymptotic Bias Correction of Nonlinear Estimators in a Non-Parametric Setting and an Application to the Smoothed Maximum Score Estimator," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(3), pages 1-30, May.
    26. Stephen V. Cameron & James J. Heckman, 1998. "Life Cycle Schooling and Dynamic Selection Bias: Models and Evidence for Five Cohorts," NBER Working Papers 6385, National Bureau of Economic Research, Inc.
    27. Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-531, May.
    28. D'Addio, Anna Cristina & Rosholm, Michael, 2005. "Exits from temporary jobs in Europe: A competing risks analysis," Labour Economics, Elsevier, vol. 12(4), pages 449-468, August.
    29. Jun, Sung Jae & Pinkse, Joris & Wan, Yuanyuan, 2015. "Classical Laplace estimation for n3-consistent estimators: Improved convergence rates and rate-adaptive inference," Journal of Econometrics, Elsevier, vol. 187(1), pages 201-216.
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    Cited by:

    1. Thanasis Stengos, 2019. "Nonparametric Econometric Methods and Applications," JRFM, MDPI, vol. 12(4), pages 1-3, November.

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