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Thesis

Nonparametric independence testing and regression for time-to-event data

Abstract:

The main goal of this thesis is to develop statistical methods for non-parametric independence testing and regression between a covariate and a right-censored event-time. First, we study tests of independence that use reproducing kernel Hilbert spaces (RKHSs) to quantify the dependence in a dataset. In particular we study permutation tests with the Hilbert Schmidt independence criterion (HSIC) as the test-statistic. We show such tests are pointswise consistent, which means that, for each f...

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Division:
MPLS
Department:
Statistics
Role:
Author

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Role:
Supervisor
Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Supervisor
Engineering and Physical Science Research Council More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
Deposit date:
2022-08-29

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