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Testing Proportionality in Duration Models with Respect to Continuous Covariates

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  • Bhattacharjee, A.
  • Samarjit Das

Abstract

Several omnibus tests of the proportional hazards assumption have been proposed in the literature. In the two-sample case, tests have also been developed against non-parametrically specified ordered alternatives. This paper considers a natural extension of such monotone ordering to the case of continuous covariates, and develops tests for the proportional hazards assumption against such ordered alternatives. Small sample properties of the tests are explored. The use of the test statistics, and use of histogram sieve estimators in the case where proportionality does not hold, are illustrated with application to data on strike durations.

Suggested Citation

  • Bhattacharjee, A. & Samarjit Das, 2002. "Testing Proportionality in Duration Models with Respect to Continuous Covariates," Cambridge Working Papers in Economics 0220, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:0220
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    References listed on IDEAS

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    12. McCall, Brian P, 1994. "Testing the Proportional Hazards Assumption in the Presence of Unmeasured Heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(3), pages 321-334, July-Sept.
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    14. A. Bhattacharjee & C. Higson & S. Holly & P. Kattuman, 2009. "Macroeconomic Instability and Business Exit: Determinants of Failures and Acquisitions of UK Firms," Economica, London School of Economics and Political Science, vol. 76(301), pages 108-131, February.
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    Cited by:

    1. Bhattacharjee, Arnab, 2004. "A Simple Test for the Absence of Covariate Dependence in Hazard Regression Models," MPRA Paper 3937, University Library of Munich, Germany.
    2. Bhattacharjee, A., 2004. "A Simple Test for the Absence of Covariate Dependence in Duration Models," Cambridge Working Papers in Economics 0401, Faculty of Economics, University of Cambridge.
    3. Bhattacharjee, Arnab, 2004. "Estimation in hazard regression models under ordered departures from proportionality," Computational Statistics & Data Analysis, Elsevier, vol. 47(3), pages 517-536, October.
    4. Bhattacharjee, Arnab & Bhattacharjee, Madhuchhanda, 2007. "Bayesian Analysis of Hazard Regression Models under Order Restrictions on Covariate Effects and Ageing," MPRA Paper 3938, University Library of Munich, Germany.
    5. A. Bhattacharjee & C. Higson & S. Holly & P. Kattuman, 2009. "Macroeconomic Instability and Business Exit: Determinants of Failures and Acquisitions of UK Firms," Economica, London School of Economics and Political Science, vol. 76(301), pages 108-131, February.
    6. Arnab Bhattacharjee & Chris Higson & Sean Holly & Paul Kattuman, 2007. "Macroeconomic Conditions and Business Exit: Determinants of Failures and Acquisitions of UK Firms," CDMA Working Paper Series 200713, Centre for Dynamic Macroeconomic Analysis.
    7. Arnab Bhattacharjee, 2005. "Models of Firm Dynamics and the Hazard Rate of Exits: Reconciling Theory and Evidence using Hazard Regression Models," Econometrics 0503021, University Library of Munich, Germany.

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    Keywords

    proportional hazards; increasing hazards ratio; ordered alternatives; histogram sieve estimators;
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