Skip to main content
Log in

Time-discrete nonparametric hazard model using panel data

  • Articles
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

In this contribution a nonparametric estimator for the hazard function will be presented for time-discrete survival analysis. The estimator is derived from a likelihood function based upon time-discrete counting processes. With martingale techniques asymptotic properties of the estimator of the cumulative hazard function are shown. Since we consider a nonparametric approach no exploratory variables are considered in the empirical example. For analyzing the remigrant behavior of different foreign nations (Italy, Yugoslavia, Greece, Spain and Turkey) the Socio-Economic Panel (SOEP) is used as a data basis. The estimations are carried out with a module of PRODISA, a program package developed for the analysis of time-discrete duration and panel data for the nonparametric and (semi)parametric case.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Andersen PK, Gill RD (1982) Cox's regression model for counting processes: A large sample study. Annals of Statistics Vol.10, 4: 1100–1120

    Article  MathSciNet  MATH  Google Scholar 

  • Andersen PK, Borgan O (1985) Counting process models for life history data: A review, Scandinavian Journal of Statistics 12: 97–158

    MathSciNet  MATH  Google Scholar 

  • Arjas E, Haara A (1987) A logistic regression model for hazard: asymptotic results. Scandinavian Journal of Statistics 14: 1–18

    MathSciNet  MATH  Google Scholar 

  • Brecht B (1995) Analyse der Rückkehr von Gastarbeitern, Verlag für Wissenschaft und Forschung, Berlin

    Google Scholar 

  • Brecht L (1992) Modelle und Methoden zur semiparametrischen Analyse von uni- und multivariaten Verweildauern, Labhard, Konstanz

    Google Scholar 

  • Bye BV, Riley GF (1989) Model estimation when observations are not independent. Sociological Methods and Research 17: 353–357

    Article  Google Scholar 

  • Gill RD (1980) Censoring and stochastic integrals. Mathematical Centre Tracts, Amsterdam

    MATH  Google Scholar 

  • Hamerle A, Tutz G (1989) Diskrete Modelle zur Analyse von Verweildauer und Lebenszeiten, Campus, Frankfurt/New York

    Google Scholar 

  • PRODISA (Program for Discrete Survival Analysis), Version 1.5 (1992) Faculty of Economics and Statistics, PROSA Project Group, University of Konstanz

  • Rebolledo R (1978) Central limit theorems for local martingales. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 51: 269–286

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

We are grateful to the German Science Foundation (DFG) for financial support.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brecht, B., Brecht, L. Time-discrete nonparametric hazard model using panel data. Statistical Papers 37, 165–176 (1996). https://doi.org/10.1007/BF02926580

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02926580

Key words

Navigation