# Survival modelling in mathematical and medical statistics

Hua, Hairui (2015). Survival modelling in mathematical and medical statistics. University of Birmingham. Ph.D.

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## Abstract

An essential aspect of survival analysis is the estimation and prediction of survival probabilities for individuals. For this purpose, mathematical modelling of the hazard rate function is a fundamental issue. This thesis focuses on the novel estimation and application of hazard rate functions in mathematical and medical research. In mathematical research we focus on the development of a semiparametric kernel-based estimate of hazard rate function and a L$$_1$$ error optimal kernel hazard rate estimate. In medical research we concentrate on the development and validation of survival models using individual participant data from multiple studies. We also consider how to fit survival models that predict individual response to treatment effectiveness, given IPD from multiple trials.

Type of Work: Thesis (Doctorates > Ph.D.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Riley, RichardUNSPECIFIEDUNSPECIFIED
Patil, Prakash N.UNSPECIFIEDUNSPECIFIED
Licence:
College/Faculty: Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department: School of Mathematics
Funders: None/not applicable
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
URI: http://etheses.bham.ac.uk/id/eprint/5808

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