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- Title
Smoothed empirical likelihood confidence intervals for the relative distribution with left-truncated and right-censored data.
- Authors
Molanes-Lopez, Elisa M.; Cao, Ricardo; Keilegom, Ingrid Van
- Abstract
The study of differences among groups is an interesting statistical topic in many applied fields. It is very common in this context to have data that are subject to mechanisms of loss of information, such as censoring and truncation. In the setting of a two-sample problem with data subject to left truncation and right censoring, we develop an empirical likelihood method to do inference for the relative distribution. We obtain a nonparametric generalization of Wilks' theorem and construct nonparametric pointwise confidence intervals for the relative distribution. Finally, we analyse the coverage probability and length of these confidence intervals through a simulation study and illustrate their use with a real data set on gastric cancer.
- Subjects
CONFIDENCE intervals; STATISTICS; STATISTICAL sampling; STATISTICAL hypothesis testing; STOMACH cancer
- Publication
Canadian Journal of Statistics, 2010, Vol 38, Issue 3, p453
- ISSN
0319-5724
- Publication type
Article
- DOI
10.1002/cjs.10079