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Thesis

Investigations into the robustness of statistical decisions

Abstract:

Decision theory is a cornerstone of Statistics, providing a principled framework in which to act under uncertainty. It underpins Bayesian theory via the Savage axioms, game theory via Wald's minimax, and supplies a mathematical formulation of 'rational choice'. This thesis argues that its role is of particular importance in the so-called 'big data' era. Indeed, as data have become larger, statisticians are confronted with an explosion of new methods and algorithms indexing ever more compli...

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Department:
Oxford University

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Department:
Oxford University
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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