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On the relation between plausibility logic and the maximum-entropy principle: a numerical study

2009/11/11 by PierGianLuca Porta Mana, P. G. L. Porta Mana, Mana, P. G. L. Porta · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #03B48 #60A05 #60G09 #Data Analysis #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Information Theory (cs.IT) #Probability (math.PR) #Statistical Mechanics and Entropy #Statistics and Probability (physics.data-an) #cs.IT #math.IT #math.PR #msc:03B48 #msc:60A05 #msc:60G09 #physics.data-an

paper · pdf · doi:10.48550/arxiv.0911.2197

24 pages of main text and references, 8 pages of tables, 7 pages of additional references

arxiv created 2009/11/11 · openalex publication_date 2009/11/11 · arxiv updated 2016/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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