title: Nonparametric inference for the cumulative incidence function of a competing risk, with an emphasis on confidence bands in the presence of left-truncation.
abstract: Motivated by a study on pregnancy outcome, a computationally simple resampling procedure for nonparametric analysis of the cumulative incidence function of a competing risk is investigated for left-truncated data. We also modify the original procedure to producing the more desirable Greenwood-type variance estimates. These approaches are used to construct simultaneous confidence bands of the cumulative incidence functions which is otherwise hampered by the complicated nature of the covariance process. Simulation results and a real data example are provided.
authors.affiliation: Freiburg Centre for Data Analysis and Modeling, University of Freiburg, Eckerstraße 1, 79104 Freiburg, Germany. susanna@fdm.uni-freiburg.de
authors.forename: Susanna
authors.initials: S
authors.lastname: Di Termini
authors.forename: Stefanie
authors.initials: S
authors.lastname: Hieke
authors.forename: Martin
authors.initials: M
authors.lastname: Schumacher
authors.forename: Jan
authors.initials: J
authors.lastname: Beyersmann
mesh_terms: D000022:Abortion, Spontaneous / Q000139:chemically induced; D000704:Analysis of Variance; D000925:Anticoagulants / Q000009:adverse effects; D001699:Biometry / Q000379:methods*; D003374:Coumarins / Q000009:adverse effects; D005260:Female; D006801:Humans; D015233:Models, Statistical; D011247:Pregnancy; D011256:Pregnancy Outcome; D011336:Probability; D012306:Risk; D018709:Statistics, Nonparametric
chemical_list: D000925:Anticoagulants; D003374:Coumarins; C030123:coumarin