Likelihood Ratio-Based Confidence Bands for Survival Functions
基于似然比的生存函数置信带AI 解读 ↓
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基于似然比的生存函数置信带AI 解读 ↓
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Thomas and Grunkemeier introduced a nonparametric likelihood ratio approach to confidence interval estimation of survival probabilities based on right-censored data. We construct simultaneous confidence bands using this approach. The boundaries of the bands are contained within [0, 1]. A procedure essentially equivalent to a bias correction is developed. The resulting increase in coverage accuracy is illustrated by an example and a simulation study. We look at various versions of log-likelihood ratio-based confidence bands and compare them to the Hall-Wellner band and Nair's equal precision band. We also construct likelihood ratio-based bands for cumulative hazard functions.