Bootstrap confidence intervals for the mode of loglogistic hazard function
By considering hazard function for loglogistic 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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myuthmep.400020220203T02:14:12Z Bootstrap confidence intervals for the mode of loglogistic hazard function 2009 Hasan, Siti Normah QA Mathematics QA273280 Probabilities. Mathematical statistics By considering hazard function for loglogistic 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 
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Universiti Tun Hussein Onn Malaysia 
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English 
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QA Mathematics QA Mathematics 
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QA Mathematics QA Mathematics Hasan, Siti Normah Bootstrap confidence intervals for the mode of loglogistic hazard function 
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By considering hazard function for loglogistic 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 
format 
Thesis 
qualification_name 
Master of Philosophy (M.Phil.) 
qualification_level 
Master's degree 
author 
Hasan, Siti Normah 
author_facet 
Hasan, Siti Normah 
author_sort 
Hasan, Siti Normah 
title 
Bootstrap confidence intervals for the mode of loglogistic hazard function 
title_short 
Bootstrap confidence intervals for the mode of loglogistic hazard function 
title_full 
Bootstrap confidence intervals for the mode of loglogistic hazard function 
title_fullStr 
Bootstrap confidence intervals for the mode of loglogistic hazard function 
title_full_unstemmed 
Bootstrap confidence intervals for the mode of loglogistic hazard function 
title_sort 
bootstrap confidence intervals for the mode of loglogistic hazard function 
granting_institution 
Universiti Putra Malaysia. 
granting_department 
Fakulti Sains 
publishDate 
2009 
url 
http://eprints.uthm.edu.my/4000/1/24p%20SITI%20NORMAH%20HASAN.pdf 
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1747831047236616192 