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Estimation under length-bias and right-censoring: An application to unemployment duration analysis for married women


  • Jacobo De UNA-ALvarez
  • M. Soledad Otero-GirALdez
  • Gema ALvarez-Llorente


In this work we analyse unemployment duration for married women in Spain, using the Labour Force Survey (LFS) of the Spanish Institute for Statistics, 1987-1997. Consistent non-parametric estimation of the unemployment survival function is provided. Since the available data are length- biased, a suitable correction of the Kaplan-Meier product-limit estimator is motivated and used for the referred analysis. The accuracy of parametric models is checked by means of goodness-of-fit plots--a graphical tool that requires preliminary estimation of the survival. Structural features of the associated hazard (as monotonicity and unimodality) are explored.

Suggested Citation

  • Jacobo De UNA-ALvarez & M. Soledad Otero-GirALdez & Gema ALvarez-Llorente, 2003. "Estimation under length-bias and right-censoring: An application to unemployment duration analysis for married women," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(3), pages 283-291.
  • Handle: RePEc:taf:japsta:v:30:y:2003:i:3:p:283-291 DOI: 10.1080/0266476022000030066

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    References listed on IDEAS

    1. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-679, June.
    2. Clifford Nowell & Marc A. Evans & Lyman McDonald, 1988. "Length-Biased Sampling in Contingent Valuation Studies," Land Economics, University of Wisconsin Press, vol. 64(4), pages 367-371.
    3. Antolin, Pablo & Bover, Olympia, 1997. "Regional Migration in Spain: The Effect of Personal Characteristics and of Unemployment, Wage and House Price Differentials Using Pooled Cross-Sections," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(2), pages 215-235, May.
    4. Klein, Roger & Sherman, Robert, 1997. "Estimating new product demand from biased survey data," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 53-76.
    5. Nieves Lázaro & Marı´a Luisa Moltó & Rosario Sánchez, 2000. "Unemployment Determinants for Women in Spain," LABOUR, CEIS, vol. 14(1), pages 53-77, March.
    6. Alfonso Alba-Ramirez, 1999. "Explaining the transitions out of unemployment in Spain: the effect of unemployment insurance," Applied Economics, Taylor & Francis Journals, vol. 31(2), pages 183-193.
    7. James Hughes & Elizabeth Savoca, 1999. "Accounting for censoring in duration data: An application to estimating the effect of legal reforms on the duration of medical malpractice disputes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(2), pages 219-228.
    8. Jacobo Uña-Álvarez, 2002. "Product-limit estimation for length-biased censored data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(1), pages 109-125, June.
    9. Nickell, Stephen J, 1979. "Estimating the Probability of Leaving Unemployment," Econometrica, Econometric Society, vol. 47(5), pages 1249-1266, September.
    10. Lancaster, Tony, 1979. "Econometric Methods for the Duration of Unemployment," Econometrica, Econometric Society, vol. 47(4), pages 939-956, July.
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    Cited by:

    1. Carlos Usabiaga & Pablo Álvarez de Toledo & Fernando Núñez, 2013. "Labour Market Segmentation, Clusters, Mobility And Unemployment Duration With Individual Microdata," EcoMod2013 5688, EcoMod.
    2. Jacobo de Uña Álvarez & Gema Álvarez Llorente & Mª Soledad Otero Giráldez, 2004. "Estimation of time spent in unemployment for married women: An application at regional level," Working Papers 0410, Universidade de Vigo, Departamento de Economía Aplicada.

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