Nonparametric maximum likelihood estimation for competing risks survival data subject to interval censoring and truncation |
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Authors: | Hudgens M G Satten G A Longini I M |
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Affiliation: | Department of Biostatistics, Emory University, Atlanta, Georgia 30322, USA. mhudgens@scharp.org |
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Abstract: | We derive the nonparametric maximum likelihood estimate (NPMLE) of the cumulative incidence functions for competing risks survival data subject to interval censoring and truncation. Since the cumulative incidence function NPMLEs give rise to an estimate of the survival distribution which can be undefined over a potentially larger set of regions than the NPMLE of the survival function obtained ignoring failure type, we consider an alternative pseudolikelihood estimator. The methods are then applied to data from a cohort of injecting drug users in Thailand susceptible to infection from HIV-1 subtypes B and E. |
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Keywords: | Competing risks Cumulative incidence function HIV subtypes Interval censoring Nonparametric maximum likelihood Pseudolikelihood Truncation |
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