A pool-adjacent-violators type algorithm for non-parametric estimation of current status data with dependent censoring

Titman, Andrew (2014) A pool-adjacent-violators type algorithm for non-parametric estimation of current status data with dependent censoring. Lifetime Data Analysis, 20 (3). pp. 444-458. ISSN 1380-7870

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Abstract

A likelihood based approach to obtaining non-parametric estimates of the failure time distribution is developed for the copula based model of Wang et al (Lifetime Data Analysis, 2012) for current status data under dependent observation. Maximization of the likelihood involves a generalized pool-adjacent violators algorithm. The estimator coincides with the standard non-parametric maximum likelihood estimate under an independence model. Confidence intervals for the estimator are constructed based on a smoothed bootstrap. It is also shown that the non-parametric failure distribution is only identifiable if the copula linking the observation and failure time distributions is fully-specified. The method is illustrated on a previously analyzed tumorigenicity dataset.

Item Type:
Journal Article
Journal or Publication Title:
Lifetime Data Analysis
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2700
Subjects:
?? NON-PARAMETRICCURRENT STATUS DATACOPULADEPENDENT CENSORINGSENSITIVITY ANALYSISAPPLIED MATHEMATICSMEDICINE(ALL) ??
ID Code:
65278
Deposited By:
Deposited On:
13 Jun 2013 08:34
Refereed?:
Yes
Published?:
Published
Last Modified:
19 Sep 2023 01:01