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Strong Representations of the Survival Function Estimator for Truncated and Censored Data with Applications

✍ Scribed by I. Gijbels; J.L. Wang


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
514 KB
Volume
47
Category
Article
ISSN
0047-259X

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✦ Synopsis


A strong i.i.d. representation is obtained for the product-limit estimator of the survival function based on left truncated and right censored data. This extends the result of Chao and Lo (1988, Ann. Statist. 16, 661-668) for truncated data. An improved rate of the approximation is also obtained on compact sets. Applications include density and hazard rate estimation. The advantage of the improved rate of the approximation is illustrated via kernel density estimation. 1993 Academic Press, Inc.


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