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As a byproduct, we obtain the fluctuation-response relations in the \\(\\kappa\\)-formalism based on the \\(\\kappa\\)-generalized exponential family.<\/jats:p>","DOI":"10.3390\/e17031204","type":"journal-article","created":{"date-parts":[[2015,3,12]],"date-time":"2015-03-12T11:30:24Z","timestamp":1426159824000},"page":"1204-1217","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Information Geometry on the \\(\\kappa\\)-Thermostatistics"],"prefix":"10.3390","volume":"17","author":[{"given":"Tatsuaki","family":"Wada","sequence":"first","affiliation":[{"name":"Department of Electrical and Electronic Engineering, Ibaraki University, Hitachi, Ibaraki, 316-8511, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio","family":"Scarfone","sequence":"additional","affiliation":[{"name":"Istituto dei Sistemi Complessi (ISC-CNR) c\/o Politecnico di Torino, Corso Duca degli Abruzzi 24,I-10129 Torino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,3,12]]},"reference":[{"key":"ref_1","unstructured":"Amari, S-I., and Nagaoka, H. 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