Wu, Wen-Chi
(2014)
Inference on conditional quantile residual life for censored survival data.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
For randomly censored data, the residual life function at a given time determines a life distribution of a subject survived up to that time point. In the situation where the data are censored, or where the underlying distribution is skewed, the quantile residual life function is preferred. A number of studies regarding the quantile residual lifetime have been conducted in the univariate settings by many professionals. However, when a pair of units are observed, i.e. a study of twins, or when patients experience two types of events, i.e. time to morbidity and time to mortality, a bivariate modelling of quantile residual lifetime subject to right censoring might be of utmost interest. In this dissertation, we develop the estimation of conditional quantile residual lifetime on semi-competing risks data. The proposed estimator is conditioning on the occurrence of the nonterminal event beyond time t. The covariate effects on specifc pairs of failure times are evaluated based on a log-linear regression on conditional
quantile residual lifetime for semi-competing risks data. Numerical studies demonstrate a reasonable performance of the estimator for moderate sample sizes. The proposed method
is applied to a study of breast cancer data from a phase III clinical trial.
Public Health Significance: In many survival studies, bivariate correlated failure times can be observed in a pair or in the same individual experiencing multiple failure times. It is of interest to know the additional time to failure of a surviving unit, when another unit is known to have failed at an earlier time. In this dissertation, the proposed estimator of the residual lifetime given the occurrence of a failure demonstrates the importance of lifetime expectancy that patients and their family seek to know before an onset of a new treatment.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
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| ETD Committee: |
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| Date: |
29 September 2014 |
| Date Type: |
Publication |
| Defense Date: |
18 July 2014 |
| Approval Date: |
29 September 2014 |
| Submission Date: |
18 July 2014 |
| Access Restriction: |
2 year -- Restrict access to University of Pittsburgh for a period of 2 years. |
| Number of Pages: |
72 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
School of Public Health > Biostatistics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Residual life, Bivariate survival function, Kernel density estimator, Kaplan-Meier estimator, Semi-competing risks. |
| Related URLs: |
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| Date Deposited: |
29 Sep 2014 21:17 |
| Last Modified: |
15 Nov 2016 14:22 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/22395 |
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