Marginalization using the metric of the likelihood
Data Analysis, Statistics and Probability
2007-05-23 v1 Plasma Physics
Abstract
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.
Cite
@article{arxiv.physics/0207125,
title = {Marginalization using the metric of the likelihood},
author = {R. Preuss and V. Dose},
journal= {arXiv preprint arXiv:physics/0207125},
year = {2007}
}
Comments
8 pages, 2 figures, Presented at the MaxEnt 2000 conference in Gif-sur-Yvette/Paris