Reply to C. Tsallis' "Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems
- Authors
- Presse, Steve; Ghosh, Kingshuk; Lee, Julian; Dill, Ken A.
- Issue Date
- Jul-2015
- Publisher
- MDPI AG
- Keywords
- nonadditive entropies; nonextensive statistical mechanics; strongly correlated random variables; Shore and Johnson axioms
- Citation
- ENTROPY, v.17, no.7, pp.5043 - 5046
- Journal Title
- ENTROPY
- Volume
- 17
- Number
- 7
- Start Page
- 5043
- End Page
- 5046
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/8700
- DOI
- 10.3390/e17075043
- ISSN
- 1099-4300
- Abstract
- In a recent PRL (2013, 111, 180604), we invoked the Shore and Johnson axioms which demonstrate that the least-biased way to infer probability distributions {p(i)} from data is to maximize the Boltzmann-Gibbs entropy. We then showed which biases are introduced in models obtained by maximizing nonadditive entropies. A rebuttal of our work appears in entropy (2015, 17, 2853) and argues that the Shore and Johnson axioms are inapplicable to a wide class of complex systems. Here we highlight the errors in this reasoning.
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