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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Main Author:	Hasan, Siti Normah
Format:	Thesis
Language:	English
Published:	2009
Subjects:	QA Mathematics
Online Access:	http://eprints.uthm.edu.my/4000/1/24p%20SITI%20NORMAH%20HASAN.pdf
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spelling	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
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English
topic	QA Mathematics QA Mathematics
spellingShingle	QA Mathematics QA Mathematics Hasan, Siti Normah Bootstrap confidence intervals for the mode of log-logistic hazard function
description	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
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 log-logistic hazard function
title_short	Bootstrap confidence intervals for the mode of log-logistic hazard function
title_full	Bootstrap confidence intervals for the mode of log-logistic hazard function
title_fullStr	Bootstrap confidence intervals for the mode of log-logistic hazard function
title_full_unstemmed	Bootstrap confidence intervals for the mode of log-logistic hazard function
title_sort	bootstrap confidence intervals for the mode of log-logistic 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
_version_	1747831047236616192

Bootstrap confidence intervals for the mode of log-logistic hazard function

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