In this paper we consider the TJW product-limit estimator F n (x) of an unknown distribution function F when the data are subject to random left truncation and right censorship. An almost sure representation of PL-estimator F n (x) is derived with an improved error bound under some weaker assumption
A note on the TJW product-limit estimator for truncated and censored data
β Scribed by Yong Zhou
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 304 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0167-7152
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π SIMILAR VOLUMES
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
## Abstract We propose a stratified product limit estimator and compare the asymptotic results with those of the unstratified version. When the censoring mechanisms are unequal for different strata, the unstratified version may overestimate the total survival rate of a heterogeneous population. A n