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A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship

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Breslow, N., Crowley, J.·1974·The Annals of Statistics

Abstract

Using the model of random censorship, a necessary and sufficient condition for the consistency of the standard (actuarial) life table estimate of a survival distribution is derived. We establish the asymptotic normality of this estimate, showing that Greenwood's variance formula is nearly correct. In the case of a continuous survival distribution we establish limiting normality for the product limit estimate and for the closely related cumulative hazard process. Some applications of these results are outlined.

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Metadata

Authors
Breslow, N., & Crowley, J.
Venue
The Annals of Statistics
Published
1974-05-01
Volume
2
Issue
3
ISSN
0090-5364 (ISSN-L)
OpenAlex
W2083274139
Cited by
728
References
16
FWCI
8.95
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship. https://app.cochat.ai/papers/10.1214/aos/1176342705
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Breslow, N., & Crowley, J. (1974). A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship. The Annals of Statistics. https://doi.org/10.1214/aos/1176342705

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.