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- W4288096863 abstract "The pooling of prior opinions is an important area of research and has been for a number of decades. The idea is to obtain a single belief probability distribution from a set of expert opinion belief distributions. The paper proposes a new way to provide a resultant prior opinion based on a minimization of information principle. This is done in the square-root density space, which is identified with the positive orthant of Hilbert unit sphere of differentiable functions. It can be shown that the optimal prior is easily identified as an extrinsic mean in the sphere. For distributions belonging to the exponential family, the necessary calculations are exact, and so can be directly applied. The idea can also be adopted for any neighbourhood of a chosen base prior and spanned by a finite set of ``contaminating directions." @default.
- W4288096863 created "2022-07-28" @default.
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- W4288096863 date "2022-07-25" @default.
- W4288096863 modified "2023-09-24" @default.
- W4288096863 title "Optimal Prior Pooling from Expert Opinions" @default.
- W4288096863 doi "https://doi.org/10.48550/arxiv.2207.12506" @default.
- W4288096863 hasPublicationYear "2022" @default.
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