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Case‐control current status data

In this paper, we show that the distribution function of survival times is identified, up to a one‐parameter family of distribution functions, based on information from case‐control current status data. With supplementary information on the population frequency of cases relative to controls, a simpl...

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Bibliographic Details
Published in:Biometrika 2004-09, Vol.91 (3), p.529-541
Main Authors: Jewell, Nicholas P., Van Der Laan, Mark
Format: Article
Language:English
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Summary:In this paper, we show that the distribution function of survival times is identified, up to a one‐parameter family of distribution functions, based on information from case‐control current status data. With supplementary information on the population frequency of cases relative to controls, a simple weighted version of the nonparametric maximum likelihood estimator for prospective current status data provides a natural estimator for case‐control samples. Following the parametric results of Scott & Wild (1997), we show that this estimator is, in fact, the nonparametric maximum likelihood estimator.
ISSN:0006-3444
1464-3510
DOI:10.1093/biomet/91.3.529