Unbiased Shifts of Stochastic Processes

Abstract

Unbiased shifts of stochastic processes can be regarded as the general theoretical framework for the fundamental extra head problem. In the first part of the thesis, we aim to give an overview of the rich mathematical landscape related to the main theme. This exploration is made gradually from relatively simple concepts to more complex ones. The second and third part contain original results with a focus on optimal unbiased shifts. Though some insight from the second part proved to be useful in the third part, new ideas and some involved technicalities were also necessary to establish the main result of the third part.

Date of Award	12 Oct 2016
Original language	English
Awarding Institution	University of Bath
Supervisor	Mark Opmeer (Supervisor) & Peter Morters (Supervisor)