{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,3]],"date-time":"2026-08-03T09:56:16Z","timestamp":1785750976753,"version":"3.56.0"},"reference-count":5,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2015,7,17]],"date-time":"2015-07-17T00:00:00Z","timestamp":1437091200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000930","name":"NSF","doi-asserted-by":"publisher","award":["1412259"],"award-info":[{"award-number":["1412259"]}],"id":[{"id":"10.13039\/501100000930","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000002","name":"NIH","doi-asserted-by":"publisher","award":["5R01GM090205-02"],"award-info":[{"award-number":["5R01GM090205-02"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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 fpig 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.<\/jats:p>","DOI":"10.3390\/e17075043","type":"journal-article","created":{"date-parts":[[2015,7,17]],"date-time":"2015-07-17T11:18:48Z","timestamp":1437131928000},"page":"5043-5046","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Reply to C. Tsallis\u2019 \u201cConceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems\u201d"],"prefix":"10.3390","volume":"17","author":[{"given":"Steve","family":"Press\u00e9","sequence":"first","affiliation":[{"name":"Department of Physics, Indiana Univ.-Purdue Univ. Indianapolis, Indianapolis, IN 46202, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kingshuk","family":"Ghosh","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, University of Denver, Denver, CO 80208, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Julian","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Bioinformatics, Soongsil University, Seoul 156-743, Korea"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ken","family":"Dill","sequence":"additional","affiliation":[{"name":"Laufer Center for Physical and Quantitative Biology and Departments of Physics and Chemistry, Stony Brook University, Stony Brook, NY 11794, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,7,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"180604","DOI":"10.1103\/PhysRevLett.111.180604","article-title":"Nonadditive entropies yield probability distributions with biases not warranted by the data","volume":"111","author":"Ghosh","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/TIT.1980.1056144","article-title":"Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy","volume":"26","author":"Shore","year":"1980","journal-title":"IEEE Trans. Inf. Theory."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2853","DOI":"10.3390\/e17052853","article-title":"Conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems","volume":"17","author":"Tsallis","year":"2015","journal-title":"Entropy"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1115","DOI":"10.1103\/RevModPhys.85.1115","article-title":"Principles of maximum entropy and maximum caliber in statistical physics","volume":"85","author":"Ghosh","year":"2013","journal-title":"Rev. Mod. Phys."},{"key":"ref_5","first-page":"052149","article-title":"Nonadditive entropy maximization is inconsistent with Bayesian updating","volume":"90","year":"2015","journal-title":"Phys. Rev. E"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/17\/7\/5043\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:49:24Z","timestamp":1760215764000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/17\/7\/5043"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7,17]]},"references-count":5,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2015,7]]}},"alternative-id":["e17075043"],"URL":"https:\/\/doi.org\/10.3390\/e17075043","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,7,17]]}}}