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

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  • Pao-Sheng Shen

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. Copyright Sociedad de Estadística e Investigación Operativa 2013

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  • Pao-Sheng Shen, 2013. "A class of rank-based tests for doubly-truncated data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 83-102, March.
  • Handle: RePEc:spr:testjl:v:22:y:2013:i:1:p:83-102
    DOI: 10.1007/s11749-012-0295-1
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    References listed on IDEAS

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    1. Carla Moreira & Jacobo de Uña-Álvarez, 2010. "Bootstrapping the NPMLE for doubly truncated data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(5), pages 567-583.
    2. Pao-sheng Shen, 2010. "Nonparametric analysis of doubly truncated data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(5), pages 835-853, October.
    3. Pao-sheng Shen, 2009. "A class of rank-based test for left-truncated and right-censored data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(2), pages 461-476, June.
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