A Simple Test for the Absence of Covariate Dependence in Duration Models

A. Bhattacharjee

    Research output: Working paper

    40 Downloads (Pure)

    Abstract

    This paper describes a simple extension of popular tests of equality of hazard rates in a two-sample or k-sample setup to a situation where the covariate under study is continuous. In other words, we test the null hypothesis that the hazard does not depend on the value of the covariate against the omnibus alternative, where the covariate is continuous. The tests developed are also useful in detecting trend in the underlying hazard rates (i.e., when the alternative hypothesis postulates that the hazard function is increasing or decreasing in the value of the covariate, for all durations) or changepoint trend alternatives (where the hazard function increases in covariate value over one range of the covariate space, and decreases over another). Asymptotic distributions of the test statistics are established using counting process techniques. Small sample properties of the tests are studied, and the use of the tests in empirical applications is illustrated.
    Original languageEnglish
    Place of PublicationCambridge
    PublisherFaculty of Economics, University of Cambridge
    Number of pages21
    Publication statusPublished - 2004

    Publication series

    NameCambridge Working Papers in Economics
    PublisherFaculty of Economics, University of Cambridge
    No.0401

    Fingerprint

    Duration models
    Covariates
    Hazard rate
    Hazard function
    Small sample properties
    Hazard
    Change point
    Counting process
    Equality
    Asymptotic distribution
    Test statistic

    Keywords

    • Covariate dependence
    • Continuous covariate
    • Two-sample tests
    • Trend tests

    Cite this

    Bhattacharjee, A. (2004). A Simple Test for the Absence of Covariate Dependence in Duration Models. (Cambridge Working Papers in Economics; No. 0401). Cambridge: Faculty of Economics, University of Cambridge.
    Bhattacharjee, A. / A Simple Test for the Absence of Covariate Dependence in Duration Models. Cambridge : Faculty of Economics, University of Cambridge, 2004. (Cambridge Working Papers in Economics; 0401).
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    Bhattacharjee, A 2004 'A Simple Test for the Absence of Covariate Dependence in Duration Models' Cambridge Working Papers in Economics, no. 0401, Faculty of Economics, University of Cambridge, Cambridge.

    A Simple Test for the Absence of Covariate Dependence in Duration Models. / Bhattacharjee, A.

    Cambridge : Faculty of Economics, University of Cambridge, 2004. (Cambridge Working Papers in Economics; No. 0401).

    Research output: Working paper

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    Bhattacharjee A. A Simple Test for the Absence of Covariate Dependence in Duration Models. Cambridge: Faculty of Economics, University of Cambridge. 2004. (Cambridge Working Papers in Economics; 0401).