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Fuzzy set representation of a prior distribution
In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian to convert their prior distribution into a fuzzy set membership function. This yields a formal relationship between these two different methods of expressing uncertainty.
First available in Project Euclid: 28 April 2008
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Meeden, Glen. Fuzzy set representation of a prior distribution. Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh, 82--88, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2008. doi:10.1214/074921708000000075. https://projecteuclid.org/euclid.imsc/1209398462
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