Likelihood ratio-based confidence bands for survival functions
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 215-226 |
Journal / Publication | Journal of the American Statistical Association |
Volume | 92 |
Issue number | 437 |
Publication status | Published - 1 Mar 1997 |
Externally published | Yes |
Link(s)
Abstract
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. © 1997 Taylor and Francis Group, LLC.
Research Area(s)
- Bias correction, Cumulative hazard rate, Kaplan-Meier estimator, Likelihood ratio statistic
Bibliographic Note
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Citation Format(s)
Likelihood ratio-based confidence bands for survival functions. / Hollander, Myles; McKeague, Ian W.; Yang, Jie.
In: Journal of the American Statistical Association, Vol. 92, No. 437, 01.03.1997, p. 215-226.
In: Journal of the American Statistical Association, Vol. 92, No. 437, 01.03.1997, p. 215-226.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review