{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T07:28:06Z","timestamp":1742974086166,"version":"3.40.3"},"publisher-location":"Cham","reference-count":10,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030269791"},{"type":"electronic","value":"9783030269807"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-26980-7_29","type":"book-chapter","created":{"date-parts":[[2019,8,18]],"date-time":"2019-08-18T23:03:04Z","timestamp":1566169384000},"page":"279-287","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Normalization Problems for Deformed Exponential Families"],"prefix":"10.1007","author":[{"given":"Hiroshi","family":"Matsuzoe","sequence":"first","affiliation":[]},{"given":"Antonio M.","family":"Scarfone","sequence":"additional","affiliation":[]},{"given":"Tatsuaki","family":"Wada","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,2]]},"reference":[{"key":"29_CR1","series-title":"Amer. Math. Soc.","volume-title":"Method of Information Geometry","author":"S Amari","year":"2000","unstructured":"Amari, S., Nagaoka, H.: Method of Information Geometry. Amer. Math. Soc. Providence, Oxford University Press, Oxford (2000)"},{"key":"29_CR2","doi-asserted-by":"publisher","first-page":"4308","DOI":"10.1016\/j.physa.2012.04.016","volume":"391","author":"S Amari","year":"2012","unstructured":"Amari, S., Ohara, A., Matsuzoe, H.: Geometry of deformed exponential families: invariant, dually-flat and conformal geometry. Phys. A 391, 4308\u20134319 (2012)","journal-title":"Phys. A"},{"key":"29_CR3","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/j.physa.2004.04.002","volume":"340","author":"AG Bashkirov","year":"2004","unstructured":"Bashkirov, A.G.: On maximum entropy principle, superstatistics, power-law distribution and Renyi parameter. Phys. A 340, 153\u2013162 (2004)","journal-title":"Phys. A"},{"key":"29_CR4","doi-asserted-by":"crossref","unstructured":"Lauritzen, S.L.: Statistical manifolds. In: Differential Geometry in Statistical Inferences, IMS Lecture Notes Monograph Series 10, Institute of Mathematical Statistics. Hayward California, pp. 96\u2013163 (1987)","DOI":"10.1214\/lnms\/1215467061"},{"key":"29_CR5","doi-asserted-by":"crossref","unstructured":"Matsuzoe, H.: Statistical manifolds and geometry of estimating functions. In: Prospects of Differential Geometry and its Related Fields, pp. 187\u2013202. World Sci. Publ. (2013)","DOI":"10.1142\/9789814541817_0013"},{"issue":"1","key":"29_CR6","doi-asserted-by":"publisher","first-page":"7","DOI":"10.3390\/e19010007","volume":"19","author":"H Matsuzoe","year":"2017","unstructured":"Matsuzoe, H.: A sequence of escort distributions and generalizations of expectations on $$q$$-exponential family. Entropy 19(1), 7 (2017)","journal-title":"Entropy"},{"key":"29_CR7","series-title":"Signals and Communication Technology","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/978-3-319-05317-2_3","volume-title":"Geometric Theory of Information","author":"H Matsuzoe","year":"2014","unstructured":"Matsuzoe, H., Henmi, M.: Hessian structures and divergence functions on deformed exponential families. In: Nielsen, F. (ed.) Geometric Theory of Information. SCT, pp. 57\u201380. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-05317-2_3"},{"key":"29_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-355-8","volume-title":"Generalised Thermostatistics","author":"J Naudts","year":"2011","unstructured":"Naudts, J.: Generalised Thermostatistics. Springer-Verlag, London (2011)"},{"key":"29_CR9","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/s41884-018-0004-6","volume":"1","author":"J Naudts","year":"2018","unstructured":"Naudts, J., Zhang, J.: Rho-tau embedding and gauge freedom in information geometry. Inf. Geom. 1, 79\u2013115 (2018)","journal-title":"Inf. Geom."},{"key":"29_CR10","doi-asserted-by":"publisher","DOI":"10.1142\/6241","volume-title":"The Geometry of Hessian Structures","author":"H Shima","year":"2007","unstructured":"Shima, H.: The Geometry of Hessian Structures. World Scientific, Singapore (2007)"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-26980-7_29","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T18:03:58Z","timestamp":1710266638000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-26980-7_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030269791","9783030269807"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-26980-7_29","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"2 August 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GSI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Geometric Science of Information","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Toulouse","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"27 August 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"29 August 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gsi2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.see.asso.fr\/GSI2019","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}