title: Cross-ratio estimation for bivariate failure times with left truncation.
abstract: The cross-ratio is an important local measure that characterizes the dependence between bivariate failure times. To estimate the cross-ratio in follow-up studies where delayed entry is present, estimation procedures need to account for left truncation. Ignoring left truncation yields biased estimates of the cross-ratio. We extend the method of Hu et al., Biometrika 98:341-354 (2011) by modifying the risk sets and relevant indicators to handle left-truncated bivariate failure times, which yields the cross-ratio estimate with desirable asymptotic properties that can be shown by the same techniques used in Hu et al., Biometrika 98:341-354 (2011). Numerical studies are conducted.
authors.affiliation: Eli Lilly and Company, Indianapolis, IN, 6285, USA, hu_tianle@lilly.com.
authors.forename: Tianle
authors.initials: T
authors.lastname: Hu
authors.forename: Xihong
authors.initials: X
authors.lastname: Lin
authors.forename: Bin
authors.initials: B
authors.lastname: Nan
mesh_terms: D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D015658:HIV Infections / Q000209:etiology; D006801:Humans; D016013:Likelihood Functions; D009364:Neoplasm Recurrence, Local / Q000453:epidemiology; D009837:Oligodendroglioma / Q000532:radiotherapy; D016019:Survival Analysis; D065227:Transfusion Reaction; D018433:Twin Studies as Topic / Q000379:methods