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Asymptotics of likelihood ratio statistic for non-inferiority testing under exponential distribution with fixed censoring times

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Abstract

We discuss the problem of testing the non-inferiority of a new treatment compared with several standard ones in a survival model where the underlying distribution is exponential and censoring times are fixed. We derive the asymptotic distribution of the likelihood ratio statistic for k-samples. We construct a testing procedure with asymptotic size α based on the likelihood ratio statistic.

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Authors and Affiliations

  1. School of Science, Osaka Prefecture University, Gakuencho 1-1 Sakai, Osaka, Japan

    Y. Takagi

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  1. Y. Takagi
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Correspondence to Y. Takagi.

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Takagi, Y. Asymptotics of likelihood ratio statistic for non-inferiority testing under exponential distribution with fixed censoring times. Metrika 71, 17–31 (2010). https://doi.org/10.1007/s00184-008-0198-z

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  • DOI: https://doi.org/10.1007/s00184-008-0198-z

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