# 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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id my-uthm-ep.4000 uketd_dc my-uthm-ep.40002022-02-03T02:14:12Z Bootstrap confidence intervals for the mode of log-logistic hazard function 2009 Hasan, Siti Normah QA Mathematics QA273-280 Probabilities. Mathematical statistics 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 2009 Thesis http://eprints.uthm.edu.my/4000/ http://eprints.uthm.edu.my/4000/1/24p%20SITI%20NORMAH%20HASAN.pdf text en public mphil masters Universiti Putra Malaysia. Fakulti Sains Universiti Tun Hussein Onn Malaysia UTHM Institutional Repository English QA Mathematics QA Mathematics QA Mathematics QA Mathematics Hasan, Siti Normah 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 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 Thesis Master of Philosophy (M.Phil.) Master's degree Hasan, Siti Normah Hasan, Siti Normah Hasan, Siti Normah Bootstrap confidence intervals for the mode of log-logistic hazard function Bootstrap confidence intervals for the mode of log-logistic hazard function Bootstrap confidence intervals for the mode of log-logistic hazard function Bootstrap confidence intervals for the mode of log-logistic hazard function Bootstrap confidence intervals for the mode of log-logistic hazard function bootstrap confidence intervals for the mode of log-logistic hazard function Universiti Putra Malaysia. Fakulti Sains 2009 http://eprints.uthm.edu.my/4000/1/24p%20SITI%20NORMAH%20HASAN.pdf 1747831047236616192