{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T13:34:59Z","timestamp":1776692099441,"version":"3.51.2"},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642400193","type":"print"},{"value":"9783642400209","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40020-9_79","type":"book-chapter","created":{"date-parts":[[2013,8,18]],"date-time":"2013-08-18T21:32:37Z","timestamp":1376861557000},"page":"713-720","source":"Crossref","is-referenced-by-count":3,"title":["Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures"],"prefix":"10.1007","author":[{"given":"Nigel J.","family":"Newton","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"79_CR1","volume-title":"Methods of Information Geometry","author":"S.-I. Amari","year":"2000","unstructured":"Amari, S.-I., Nagaoka, H.: Methods of Information Geometry. American Mathematical Society, Providence (2000)"},{"key":"79_CR2","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/s10463-006-0096-y","volume":"59","author":"A. Cena","year":"2007","unstructured":"Cena, A., Pistone, G.: Exponential statistical manifold. Ann.\u00a0Inst.\u00a0Statist.\u00a0Math.\u00a059, 27\u201356 (2007)","journal-title":"Ann.\u00a0Inst.\u00a0Statist.\u00a0Math."},{"key":"79_CR3","volume-title":"Optimal decision rules and optimal inference","author":"N.N. Chentsov","year":"1982","unstructured":"Chentsov, N.N.: Optimal decision rules and optimal inference. American Mathematical Society, Providence (1982)"},{"key":"79_CR4","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1214\/aos\/1176346246","volume":"11","author":"S. Eguchi","year":"1983","unstructured":"Eguchi, S.: Second order efficiency of minimum contrast estimators in a curved exponential family. Ann.\u00a0Statist.\u00a011, 793\u2013803 (1983)","journal-title":"Ann.\u00a0Statist."},{"key":"79_CR5","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1142\/S021902579800017X","volume":"1","author":"P. Gibilisco","year":"1998","unstructured":"Gibilisco, P., Pistone, G.: Connections on non-parametric statistical manifolds by Orlicz space geometry: infinite-dimensional analysis. Quantum Probability and Related Topics\u00a01, 325\u2013347 (1998)","journal-title":"Quantum Probability and Related Topics"},{"key":"79_CR6","doi-asserted-by":"publisher","first-page":"873","DOI":"10.1007\/s10463-008-0191-3","volume":"62","author":"M.R. Grasselli","year":"2010","unstructured":"Grasselli, M.R.: Dual connections in non-parametric classical information geometry. Ann.\u00a0Inst.\u00a0Statist.\u00a0Math.\u00a062, 873\u2013896 (2010)","journal-title":"Ann.\u00a0Inst.\u00a0Statist.\u00a0Math."},{"key":"79_CR7","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, London (2011)"},{"key":"79_CR8","doi-asserted-by":"publisher","first-page":"1661","DOI":"10.1016\/j.jfa.2012.06.007","volume":"263","author":"N.J. Newton","year":"2012","unstructured":"Newton, N.J.: An infinite-dimensional statistical manifold modelled on Hilbert space. J.\u00a0Functional Analysis\u00a0263, 1661\u20131681 (2012)","journal-title":"J.\u00a0Functional Analysis"},{"key":"79_CR9","unstructured":"Newton, N.J.: Infinite-dimensional statistical manifolds based on a balanced chart, to be uploaded to arXiv"},{"key":"79_CR10","doi-asserted-by":"publisher","first-page":"721","DOI":"10.2307\/3318699","volume":"5","author":"G. Pistone","year":"1999","unstructured":"Pistone, G., Rogantin, M.P.: The exponential statistical manifold: mean parameters, orthogonality and space transformations. Bernoulli\u00a05, 721\u2013760 (1999)","journal-title":"Bernoulli"},{"key":"79_CR11","doi-asserted-by":"publisher","first-page":"1543","DOI":"10.1214\/aos\/1176324311","volume":"23","author":"G. Pistone","year":"1995","unstructured":"Pistone, G., Sempi, C.: An infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. Annals of Statistics\u00a023, 1543\u20131561 (1995)","journal-title":"Annals of Statistics"},{"key":"79_CR12","doi-asserted-by":"crossref","unstructured":"Vigelis, R.F., Cavalcante, C.C.: On \u03d5-families of probability distributions, J.\u00a0Theoretical Probability (2011)","DOI":"10.1007\/s10959-011-0400-5"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40020-9_79","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T14:44:17Z","timestamp":1558017857000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40020-9_79"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642400193","9783642400209"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40020-9_79","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}