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Estimating the quality-of-life-adjusted gap time distribution of successive events subject to censoring

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  • Adin-Cristian Andrei
  • Susan Murray

Abstract

When treatment effects are studied in the context of successive or recurrent life events, separate analyses of the quality-of-life scores and of the inter-event, gap, times might lead to possibly contradictory conclusions. In an attempt to reconcile this, we propose a unitary and more comprehensive nonparametric analysis that combines the two separate analyses by introducing the quality-of-life-adjusted gap time concept. Inverse probability of censoring estimators of the quality-of-life-adjusted gap time joint and conditional distributions are proposed and are shown to be consistent and asymptotically normal. Simulations performed in a variety of scenarios indicate that the joint and conditional quality-of-life-adjusted gap time distribution estimators are virtually unbiased, with properly estimated standard errors and asymptotic normality features. An example from the International Breast Cancer Study Group Trial V illustrates the use of the proposed estimators. Copyright 2006, Oxford University Press.

Suggested Citation

  • Adin-Cristian Andrei & Susan Murray, 2006. "Estimating the quality-of-life-adjusted gap time distribution of successive events subject to censoring," Biometrika, Biometrika Trust, vol. 93(2), pages 343-355, June.
    • Handle: RePEc:oup:biomet:v:93:y:2006:i:2:p:343-355
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    File URL: http://hdl.handle.net/10.1093/biomet/93.2.343
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    Cited by:

    1. Lakhal Lajmi & Rivest Louis-Paul & Beaudoin David, 2009. "IPCW Estimator for Kendall's Tau under Bivariate Censoring," The International Journal of Biostatistics, De Gruyter, vol. 5(1), pages 1-22, February.
    2. Adin-Cristian Andrei & Susan Murray, 2007. "Regression Models for the Mean of the Quality-of-Life-Adjusted Restricted Survival Time Using Pseudo-Observations," Biometrics, The International Biometric Society, vol. 63(2), pages 398-404, June.
    3. Xu Shu & Douglas E. Schaubel, 2017. "Methods for Contrasting Gap Time Hazard Functions: Application to Repeat Liver Transplantation," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 9(2), pages 470-488, December.

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