Journal
LIFETIME DATA ANALYSIS
Volume 15, Issue 2, Pages 241-255Publisher
SPRINGER
DOI: 10.1007/s10985-008-9107-z
Keywords
Competing risks; Generalized estimating equation; Jackknife pseudo-values; Regression models; Survival analysis; Von Mises expansion
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For regression on state and transition probabilities in multi-state models Andersen et al. (Biometrika 90:15-27, 2003) propose a technique based on jackknife pseudo-values. In this article we analyze the pseudo-values suggested for competing risks models and prove some conjectures regarding their asymptotics (Klein and Andersen, Biometrics 61:223-229, 2005). The key is a second order von Mises expansion of the Aalen-Johansen estimator which yields an appropriate representation of the pseudo-values. The method is illustrated with data from a clinical study on total joint replacement. In the application we consider for comparison the estimates obtained with the Fine and Gray approach (J Am Stat Assoc 94:496-509, 1999) and also time-dependent solutions of pseudo-value regression equations.
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