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Mixture catastrophes and Bayes decision theory

Published online by Cambridge University Press:  24 October 2008

J. Q. Smith
J. Q. Smith
Affiliation:
University College, London
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Extract

To make a Bayes decision we choose the infimum of an expected loss function. Catastrophe theory classifies a wide class of functions locally in terms of their critical values. Firstly we will show how this local classification relates globally to some mixtures of symmetric expected loss functions. Secondly we shall indicate how such mixtures can arise and how the above classification can be usefully applied to the qualitative study of the behaviour of a Bayes decision-maker.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 1 , July 1979 , pp. 91 - 101
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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