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A note on stock sampling and maximum duration

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  • Bijwaard, G.E.

Abstract

An issue hardly ever mentioned in the analysis of labour market transitions is that for some individuals labour market transitions occur at a very low rate. Therefore, these individuals might stay on disability benefits or in domestic care till they reach the retirement age of 65. This implies that the duration on disability and of non-participating women has a upper bound of the time till retirement. Despite the growing availability of panel data on labour market transitions many household surveys are still based on stock based sampling. In this paper estimation of a duration model in which a positive fraction of individuals reaches a maximum duration is derived for stock sampled data. A mixed proportional hazard model with a piecewise constant baseline hazard leads to a relatively simple closed-form expression in the log likelihood. Discrete unobserved heterogeneity is assumed. Non-constant entry rates into the labour market state are allowed for by assuming a yearly fluctuating rate.

Suggested Citation

  • Bijwaard, G.E., 2006. "A note on stock sampling and maximum duration," Econometric Institute Research Papers EI 2006-22, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:7754
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    References listed on IDEAS

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    1. 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.
    2. Schmidt, Peter & Witte, Ann Dryden, 1989. "Predicting criminal recidivism using 'split population' survival time models," Journal of Econometrics, Elsevier, vol. 40(1), pages 141-159, January.
    3. Heckman, James J. & Singer, Burton, 1984. "Econometric duration analysis," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 63-132.
    4. John T. Addison & Pedro Portugal, 2003. "Unemployment Duration Competing and Defective Risks," Journal of Human Resources, University of Wisconsin Press, vol. 38(1).
    5. Nickell, Stephen J, 1979. "Estimating the Probability of Leaving Unemployment," Econometrica, Econometric Society, vol. 47(5), pages 1249-1266, September.
    6. Bijwaard, G.E. & Veenman, J., 2007. "Unequal changes on the transitional labour market, the case of the Netherlands," Econometric Institute Research Papers EI 2007-27, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Murphy, Anthony, 1996. "A piecewise-constant hazard-rate model for the duration of unemployment in single-interview samples of the stock of unemployed," Economics Letters, Elsevier, vol. 51(2), pages 177-183, May.
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    More about this item

    Keywords

    maximum duration; mixed proportional hazard; mover-stayer model; stock sampling;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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