Geometric methods in statistics

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A great deal of work that is done by statisticians exploits the idea of a statistical model. Such a model enables analysts to, amongst other things, quantify their uncertainty about the numerical value of a real world phenomenon, make predictions of events in the future and to test scientific hypotheses. The model itself though is just a tool and like any other needs to be selected with care. The objective of the research is to find ways of evaluating the effect of the choice of a particular model in a given problem. Somewhat surprisingly it turns out that tools from the world of geometry are very useful in this assessment. The project will develop these geometrically based tools in ways that the working statistician will be able to exploit.