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A class of rank-based tests for doubly-truncated data

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Abstract

A class of rank-based tests is proposed for the two-sample problem with doubly-truncated data. We consider both nonparametric and semiparametric approaches, where the truncation distribution is parameterized, while the lifetime distribution is left unspecified. The asymptotic distribution theory of the test is presented. The small-sample performance of the test is investigated under a variety of situations by means of Monte Carlo simulations. The proposed tests are illustrated using the CDC AIDS Blood Transfusion Data.

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Acknowledgements

The author would like to thank the associate editor and referees for their helpful and valuable comments and suggestions.

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  1. Department of Statistics, Tunghai University, Taichung, 40704, Taiwan

    Pao-Sheng Shen

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  1. Pao-Sheng Shen
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Correspondence to Pao-Sheng Shen.

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Shen, PS. A class of rank-based tests for doubly-truncated data. TEST 22, 83–102 (2013). https://doi.org/10.1007/s11749-012-0295-1

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  • DOI: https://doi.org/10.1007/s11749-012-0295-1

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