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
Variance of the bivariate density estimator for left truncated right censored data
✍ Scribed by Kathryn Prewitt; Ulkü Gürler
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 101 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, two types of kernel based estimators of hazard rate under left truncation and right censorship are considered. An asymptotic representation of the integrated squared error for both estimators is obtained. Also it is shown that the bandwidth selected by the data-based method of least s
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