Marginalization using the metric of the likelihood

Details Marginalization using the metric of the likelihood Marginalization using the metric of the likelihood

2002-07-31

arxiv.org/abs/physics/0207125v1

Physics

Data Analysis, Statistics and Probability

8 pages, 2 figures, Presented at the MaxEnt 2000 conference in Gif-sur-Yvette/Paris

Scientific paper

Although the likelihood function is normalizeable with respect to the data there is no guarantee that the same holds with respect to the model parameters. This may lead to singularities in the expectation value integral of these parameters, especially if the prior information is not sufficient to take care of finite integral values. However, the problem may be solved by obeying the correct Riemannian metric imposed by the likelihood. This will be demonstrated for the example of the electron temperature evaluation in hydrogen plasmas.

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