UTHM Institutional Repository

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

Hasan, Siti Normah (2009) Bootstrap confidence intervals for the mode of log-logistic hazard function. Masters thesis, Universiti Putra Malaysia.

[img]
Preview
PDF
SITINORMAH_HASAN.pdf

Download (5MB)

Abstract

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

Item Type: Thesis (Masters)
Subjects: Q Science > QA Mathematics > QA273 Probabilities. Mathematical statistics
Depositing User: Normajihan Abd. Rahman
Date Deposited: 19 Sep 2011 06:39
Last Modified: 19 Sep 2011 06:39
URI: http://eprints.uthm.edu.my/id/eprint/1682
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year