Testing goodness of fit of a uniform truncation model.
@article{Mandel2007TestingGO,
title={Testing goodness of fit of a uniform truncation model.},
author={Michael D. Mandel and Rebecca A. Betensky},
journal={Biometrics},
year={2007},
volume={63 2},
pages={
405-12
}
}Several goodness-of-fit tests of a lifetime distribution have been suggested in the literature; many take into account censoring and/or truncation of event times. In some contexts, a goodness-of-fit test for the truncation distribution is of interest. In particular, better estimates of the lifetime distribution can be obtained when knowledge of the truncation law is exploited. In cross-sectional sampling, for example, there are theoretical justifications for the assumption of a uniform…
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References
SHOWING 1-10 OF 29 REFERENCES
Semiparametric Likelihood Ratio-Based Inferences for Truncated Data
- Mathematics
- 1997
Abstract In astronomic, demographic, epidemiologic, and other studies, the variable of interest, say the survival time, is often truncated by an associated variable. In many situations, the…
Testing Quasi-Independence of Failure and Truncation Times via Conditional Kendall's Tau
- Mathematics
- 2005
Truncated survival data arise when the failure time is observed only if it falls within a subject-specific truncating set. Most analysis methods rely on the key assumption of quasi-independence, that…
Nonparametric Estimation from Cross-Sectional Survival Data
- Mathematics
- 1991
Abstract In many follow-up studies survival data are often observed according to a cross-sectional sampling scheme. Data of this type are subject to left truncation in addition to the usual right…
Bootstrapping left truncated and right censored data
- Mathematics
- 1997
Survival data subject to left truncation and right censoring are encountered in many follow–up studies. One such situation is follow–up data collected under a cross–sectional sampling scheme. Efron…
Length-Biased Sampling With Right Censoring
- Mathematics
- 2002
When survival data arise from prevalent cases ascertained through a cross-sectional study, it is well known that the survivor function corresponding to these data is length biased and different from…
Using weighted Kaplan-Meier statistics in nonparametric comparisons of paired censored survival outcomes.
- MathematicsBiometrics
- 2001
Simulations presented over a range of potential dependence in the paired censored survival data demonstrate substantial power gains associated with taking into account the dependence structure, and highlight the need for accounting for dependence in this popular family of tests.
Testing the assumption of independence of truncation time and failure time
- Mathematics
- 1990
SUMMARY For data subject to random censorship, it is well known that the assumption of independence between censoring time and failure time cannot be tested nonparametrically. For data subject to…
Semiparametric Analysis of Truncated Data
- MathematicsLifetime data analysis
- 2001
This paper considers a semiparametric model and develops an efficient method for the estimation of unknown parameters in a model that assumes that K populations have a common probability distribution but the populations are observed subject to different truncation mechanisms.
Nonparametric estimation under length-biased sampling and Type I censoring: A moment based approach
- Mathematics
- 2004
Observation of lifetimes by means of cross-sectional surveys typically results in left-truncated, right-censored data. In some applications, it may be assumed that the truncation variable is…
BOOTSTRAP METHODS FOR TRUNCATED AND CENSORED DATA
- Mathematics
- 1996
For right censored data, Efron (1981) has shown that his "simple" and "obvious" methods of bootstrapping are equivalent. We explain why this equiv- alence no longer holds for truncated data. Wang…

