Simultaneous Inference on Survival Data

Simultaneous Inference on Survival Data

Bibliographic Details
Main Author: Ma, Yehan
Language:English
Published: Bowling Green State University / OhioLINK 2019
Subjects:
Statistics
confidence band
simultaneous confidence procedure
substitutable confidence interval
treatment effect
treatment regimes
Weibull population
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-bgsu15554266059698232021-08-03T07:10:19Z Simultaneous Inference on Survival Data Ma, Yehan Statistics confidence band simultaneous confidence procedure substitutable confidence interval treatment effect treatment regimes Weibull population Simultaneous inference is a traditional topic in analyzing data. In survival analysis, simultaneous inferences are usually required for comparisons on various treatment levels, on different time periods, and moreover, on both. To solve the aforementioned research goals, this dissertation proposes a methodology of drawing simultaneous conclusion of treatment effects over a time period when confidence band for the treatment effects is available.This dissertation starts with deriving the specific expressions of confidence bands for the treatment effects on exponential and Weibull populations respectively. After obtaining the confidence bands, a main theorem is provided that simultaneous inference on several treatment levels over a time period can be derived by a stepwise confidence procedure. Additionally, to study the treatment regimes and system reliability, an issue of substitutable confidence intervals is raised. The idea of the proposed methodology can be applied on this issue, and a stepwise confidence procedure is provided as well. 2019-04-24 English text Bowling Green State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823 http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Statistics
confidence band
simultaneous confidence procedure
substitutable confidence interval
treatment effect
treatment regimes
Weibull population
spellingShingle Statistics
confidence band
simultaneous confidence procedure
substitutable confidence interval
treatment effect
treatment regimes
Weibull population
Ma, Yehan
Simultaneous Inference on Survival Data
author Ma, Yehan
author_facet Ma, Yehan
author_sort Ma, Yehan
title Simultaneous Inference on Survival Data
title_short Simultaneous Inference on Survival Data
title_full Simultaneous Inference on Survival Data
title_fullStr Simultaneous Inference on Survival Data
title_full_unstemmed Simultaneous Inference on Survival Data
title_sort simultaneous inference on survival data
publisher Bowling Green State University / OhioLINK
publishDate 2019
url http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823
work_keys_str_mv AT mayehan simultaneousinferenceonsurvivaldata
_version_ 1719455179806343168

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