Updating Probabilities
<|reference_start|>Updating Probabilities: We show that Skilling's method of induction leads to a unique general theory of inductive inference, the method of Maximum relative Entropy (ME). The main tool for updating probabilities is the logarithmic relative entropy; other entropies such as those of Renyi or Tsallis are ruled out. We also show that Bayes updating is a special case of ME updating and thus, that the two are completely compatible.<|reference_end|>
@article{caticha2006updating,
    title={Updating Probabilities},
    author={Ariel Caticha and Adom Giffin},
    journal={arXiv preprint arXiv:physics/0608185},
    year={2006},
    doi={10.1063/1.2423258},
    number={UAlbany-Physics 001},
    archivePrefix={arXiv},
    eprint={physics/0608185},
    primaryClass={physics.data-an cond-mat.stat-mech cs.IT math.IT}
}