On the relation between plausibility logic and the maximum-entropy principle: a numerical study
Probability
2016-05-19 v1 Information Theory
math.IT
Data Analysis, Statistics and Probability
Abstract
What is the relationship between plausibility logic and the principle of maximum entropy? When does the principle give unreasonable or wrong results? When is it appropriate to use the rule `expectation = average'? Can plausibility logic give the same answers as the principle, and better answers if those of the principle are unreasonable? To try to answer these questions, this study offers a numerical collection of plausibility distributions given by the maximum-entropy principle and by plausibility logic for a set of fifteen simple problems: throwing dice.
Keywords
Cite
@article{arxiv.0911.2197,
title = {On the relation between plausibility logic and the maximum-entropy principle: a numerical study},
author = {P. G. L. Porta Mana},
journal= {arXiv preprint arXiv:0911.2197},
year = {2016}
}
Comments
24 pages of main text and references, 8 pages of tables, 7 pages of additional references