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Yehan_Ma_Dissertation.pdf (524.95 KB)

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Simultaneous Inference on Survival Data

Ma, Yehan
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823

Abstract Details

2019, Doctor of Philosophy (Ph.D.), Bowling Green State University, Mathematics/Mathematical Statistics.
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.
John Chen (Advisor)
Hanfeng Chen (Committee Member)
Wei Ning (Committee Member)
Arthur Yeh (Other)
114 p.
Statistics
confidence band; simultaneous confidence procedure; substitutable confidence interval; treatment effect; treatment regimes; Weibull population

Recommended Citations

Citations

  • Ma, Y. (2019). Simultaneous Inference on Survival Data [Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823

    APA Style (7th edition)

  • Ma, Yehan. Simultaneous Inference on Survival Data. 2019. Bowling Green State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823.

    MLA Style (8th edition)

  • Ma, Yehan. "Simultaneous Inference on Survival Data." Doctoral dissertation, Bowling Green State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555426605969823

    Chicago Manual of Style (17th edition)

bgsu1555426605969823
313
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This open access ETD is published by Bowling Green State University and OhioLINK.