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Semiparametric Efficiency Bounds and Efficient Estimation of Discrete Duration Models with Unspecified Hazard Rate

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  • Sadat Reza
  • Paul Rilstone

Abstract

We consider semiparametric estimation of discrete duration models whose hazard rate can be characterized as an unknown transformation of a parametric index of the observable covariates and elapsed spell length. The information matrix is derived. In the case of separable duration dependence the information matrix for the parameters of the index is singular. In that situation, the information matrix for the regression component of the hazard function is derived. The information matrix is also singular when individual--specific/time--invariant unobserved errors are introduced. We develop --consistent estimators for those instances when the information matrix is nonsingular. Less--than-- --consistent estimators of the duration dependence component of the hazard rate of the separable model are developed. Simulations and an application to strike durations illustrate the viability of the approach.

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  • 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.
    • Handle: RePEc:taf:emetrv:v:35:y:2016:i:5:p:693-726
    DOI: 10.1080/07474938.2014.966637
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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. Alan Harrison & Mark B. Stewart, 1993. "Strike Duration and Strike Size," Canadian Journal of Economics, Canadian Economics Association, vol. 26(4), pages 830-849, November.
    4. David Card, 1990. "Strikes and Wages: A Test of an Asymmetric Information Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(3), pages 625-659.
    5. Lee, Lung-fei, 1995. "Semiparametric maximum likelihood estimation of polychotomous and sequential choice models," Journal of Econometrics, Elsevier, vol. 65(2), pages 381-428, February.
    6. Knut Røed & Peter Jensen & Anna Thoursie, 2008. "Unemployment duration and unemployment insurance: a comparative analysis based on Scandinavian micro data," Oxford Economic Papers, Oxford University Press, vol. 60(2), pages 254-274, April.
    7. Peter Cramton & Morley Gunderson & Joseph Tracy, 1999. "The Effect Of Collective Bargaining Legislation On Strikes And Wages," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 475-487, August.
    8. Rafael Lalive & Jan Van Ours & Josef Zweimuller, 2006. "How Changes in Financial Incentives Affect the Duration of Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1009-1038.
    9. 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.
    10. Chamberlain, Gary, 1986. "Asymptotic efficiency in semi-parametric models with censoring," Journal of Econometrics, Elsevier, vol. 32(2), pages 189-218, July.
    11. Joel L. Horowitz, 1999. "Semiparametric Estimation of a Proportional Hazard Model with Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 67(5), pages 1001-1028, September.
    12. Gerald Makepeace & Pierella Paci & Heather Joshi & Peter Dolton, 1999. "How Unequally Has Equal Pay Progressed since the 1970s? A Study of Two British Cohorts," Journal of Human Resources, University of Wisconsin Press, vol. 34(3), pages 534-556.
    13. 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.
    14. 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.
    15. Hess, Wolfgang, 2009. "A Flexible Hazard Rate Model for Grouped Duration Data," Working Papers 2009:18, Lund University, Department of Economics.
    16. Tracy, Joseph S, 1987. "An Empirical Test of an Asymmetric Information Model of Strikes," Journal of Labor Economics, University of Chicago Press, vol. 5(2), pages 149-173, April.
    17. Kennan, John, 1985. "The duration of contract strikes in U.S. manufacturing," Journal of Econometrics, Elsevier, vol. 28(1), pages 5-28, April.
    18. 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.
    19. Belzil, Christian, 2000. "Unemployment Insurance and Subsequent Job Duration: Job Matching vs Unobserved Heterogeneity," IZA Discussion Papers 116, Institute of Labor Economics (IZA).
    20. 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.
    21. 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.
    22. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    23. Christian Belzil, 2001. "Unemployment Insurance and Subsequent Job Duration: Matching vs Unobserved Heterogeneity," Post-Print halshs-00151376, HAL.
    24. Jinyong Hahn, 1994. "The Efficiency Bound of the Mixed Proportional Hazard Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 607-629.
    25. 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.
    26. 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.
    27. Finnie, Ross & Gray, David, 2002. "Earnings dynamics in Canada: an econometric analysis," Labour Economics, Elsevier, vol. 9(6), pages 763-800, December.
    28. Newey, Whitney K, 1990. "Semiparametric Efficiency Bounds," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(2), pages 99-135, April-Jun.
    29. Baker, Michael & Melino, Angelo, 2000. "Duration dependence and nonparametric heterogeneity: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 96(2), pages 357-393, June.
    30. Gunderson, Morley & Melino, Angelo, 1990. "The Effects of Public Policy on Strike Duration," Journal of Labor Economics, University of Chicago Press, vol. 8(3), pages 295-316, July.
    31. Reder, Melvin W & Neumann, George R, 1980. "Conflict and Contract: The Case of Strikes," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 867-886, October.
    32. Cosslett, Stephen R, 1987. "Efficiency Bounds for Distribution-free Estimators of the Binary," Econometrica, Econometric Society, vol. 55(3), pages 559-585, May.
    33. Scott Thompson, T., 1993. "Some efficiency bounds for semiparametric discrete choice models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 257-274, July.
    34. Cynthia L. Gramm, 1986. "The Determinants of Strike Incidence and Severity: A Micro-Level Study," ILR Review, Cornell University, ILR School, vol. 39(3), pages 361-376, April.
    35. 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.
    36. Card, David & Olson, Craig A, 1995. "Bargaining Power, Strike Durations, and Wage Outcomes: An Analysis of Strikes in the 1880s," Journal of Labor Economics, University of Chicago Press, vol. 13(1), pages 32-61, January.
    37. Michele Campolieti & Robert Hebdon & Douglas Hyatt, 2005. "Strike Incidence and Strike Duration: Some New Evidence from Ontario," ILR Review, Cornell University, ILR School, vol. 58(4), pages 610-630, July.
    38. Harrison, Alan & Stewart, Mark, 1994. "Is Strike Behavior Cyclical?," Journal of Labor Economics, University of Chicago Press, vol. 12(4), pages 524-553, October.
    39. Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-531, May.
    40. Christian Belzil, 2001. "Unemployment insurance and subsequent job duration: job matching versus unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(5), pages 619-636.
    41. 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.
    42. Lars Pico Geerdsen, 2006. "Is there a Threat Effect of Labour Market Programmes? A Study of ALMP in the Danish UI System," Economic Journal, Royal Economic Society, vol. 116(513), pages 738-750, July.
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