Bootstrap confidence intervals for the mode of log-logistic hazard function
By considering hazard function for log-logistic distribution with parameter Q > 1 , it is important to perform inferences about the mode of the hazard function with unimodal hazard function. The parameters of this distribution are estimated by maximum likelihood method and they are used to estima...
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| Format: | Thesis |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/1682/ http://eprints.uthm.edu.my/1682/1/SITINORMAH_HASAN.pdf |
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| Summary: | By considering hazard function for log-logistic distribution with parameter Q > 1 ,
it is important to perform inferences about the mode of the hazard function with
unimodal hazard function. The parameters of this distribution are estimated by
maximum likelihood method and they are used to estimate other quantities of interest
such as mode of lifetime data and percentile. From the asymptotical normality of the
maximum likelihood estimator, confidence intervals can be obtained. However, these
results might not be very accurate for the small sample size or large proportion of
censored data. In this project, the confidence interval for the mode of the hazard function
obtained by asymptotic confidence interval is going to be compared with boatstrap
methods. The performance of the procedures is evaluated by simulation with different
sample sizes and proportion of censored data |
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