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Empirical phi-divergence test statistics for the difference of means of two populations

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  • N. Balakrishnan

    (McMaster University)

  • N. Martín

    (Complutense University of Madrid)

  • L. Pardo

    (Complutense University of Madrid)

Abstract

Empirical phi-divergence test statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behavior of the classical likelihood ratio test statistic, as well as for model misspecification problems, in both cases for the one population problem. This paper introduces this methodology for two-sample problems. A simulation study illustrates situations in which the new test statistics become a competitive tool with respect to the classical z test and the likelihood ratio test statistic.

Suggested Citation

  • N. Balakrishnan & N. Martín & L. Pardo, 2017. "Empirical phi-divergence test statistics for the difference of means of two populations," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 101(2), pages 199-226, April.
    • Handle: RePEc:spr:alstar:v:101:y:2017:i:2:d:10.1007_s10182-017-0289-0
    DOI: 10.1007/s10182-017-0289-0
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    References listed on IDEAS

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