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Bootstrap confidence intervals for the mode of the hazard function
- Source :
- Computer Methods and Programs in Biomedicine. 79:39-47
- Publication Year :
- 2005
- Publisher :
- Elsevier BV, 2005.
-
Abstract
- Summary In many applications of lifetime data analysis, it is important to perform inferences about the mode of the hazard function in situations of lifetime data modeling with unimodal hazard functions. For lifetime distributions where the mode of the hazard function can be analytically calculated, its maximum likelihood estimator is easily obtained from the invariance properties of the maximum likelihood estimators. From the asymptotical normality of the maximum likelihood estimators, confidence intervals can be obtained. However, these results might not be very accurate for small sample sizes and/or large proportion of censored observations. Considering the log-logistic distribution for the lifetime data with shape parameter β > 1 , we present and compare the accuracy of asymptotical confidence intervals with two confidence intervals based on bootstrap simulation. The alternative methodology of confidence intervals for the mode of the log-logistic hazard function are illustrated in three numerical examples.
- Subjects :
- Likelihood Functions
Estimator
Health Informatics
Robust confidence intervals
Confidence interval
Shape parameter
Computer Science Applications
Statistics
Confidence Intervals
Confidence distribution
Log-logistic distribution
Software
CDF-based nonparametric confidence interval
Proportional Hazards Models
Mathematics
Confidence and prediction bands
Subjects
Details
- ISSN :
- 01692607
- Volume :
- 79
- Database :
- OpenAIRE
- Journal :
- Computer Methods and Programs in Biomedicine
- Accession number :
- edsair.doi.dedup.....16384e9b225e16dba2ea101c192ca01c